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Finding the Fourth Proportional to 213,164.70, 294,159.51 and 117,671.10

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Solution

The fourth proportional to 213,164.70, 294,159.51 and 117,671.10 is: 162,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,164.70 : 294,159.51 = 117,671.10 : x
  2. Step 2: Convert to fraction form
    213,164.70/294,159.51 = 117,671.10/x
  3. Step 3: Cross multiply
    213,164.70x = 294,159.51 × 117,671.10
  4. Step 4: Simplify right side
    213,164.70x = 34,614,073,117.16
  5. Step 5: Solve for x
    x = 34,614,073,117.16/213,164.70
  6. Step 6: Final answer
    x = 162,381.83

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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.