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Finding the Fourth Proportional to 213,164.88, 294,168.06 and 116,368.80

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Solution

The fourth proportional to 213,164.88, 294,168.06 and 116,368.80 is: 160,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,164.88 : 294,168.06 = 116,368.80 : x
  2. Step 2: Convert to fraction form
    213,164.88/294,168.06 = 116,368.80/x
  3. Step 3: Cross multiply
    213,164.88x = 294,168.06 × 116,368.80
  4. Step 4: Simplify right side
    213,164.88x = 34,231,984,140.53
  5. Step 5: Solve for x
    x = 34,231,984,140.53/213,164.88
  6. Step 6: Final answer
    x = 160,589.23

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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.