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Finding the Fourth Proportional to 213,896.34, 295,164.27 and 118,397.34

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Solution

The fourth proportional to 213,896.34, 295,164.27 and 118,397.34 is: 163,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,896.34 : 295,164.27 = 118,397.34 : x
  2. Step 2: Convert to fraction form
    213,896.34/295,164.27 = 118,397.34/x
  3. Step 3: Cross multiply
    213,896.34x = 295,164.27 × 118,397.34
  4. Step 4: Simplify right side
    213,896.34x = 34,946,664,431.04
  5. Step 5: Solve for x
    x = 34,946,664,431.04/213,896.34
  6. Step 6: Final answer
    x = 163,381.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.