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Finding the Fourth Proportional to 354,918.65, 532,454.51 and 102,197.43

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Solution

The fourth proportional to 354,918.65, 532,454.51 and 102,197.43 is: 153,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,918.65 : 532,454.51 = 102,197.43 : x
  2. Step 2: Convert to fraction form
    354,918.65/532,454.51 = 102,197.43/x
  3. Step 3: Cross multiply
    354,918.65x = 532,454.51 × 102,197.43
  4. Step 4: Simplify right side
    354,918.65x = 54,415,482,769.40
  5. Step 5: Solve for x
    x = 54,415,482,769.40/354,918.65
  6. Step 6: Final answer
    x = 153,318.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.