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Finding the Fourth Proportional to 354,917.61, 532,452.96 and 102,196.40

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Solution

The fourth proportional to 354,917.61, 532,452.96 and 102,196.40 is: 153,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,917.61 : 532,452.96 = 102,196.40 : x
  2. Step 2: Convert to fraction form
    354,917.61/532,452.96 = 102,196.40/x
  3. Step 3: Cross multiply
    354,917.61x = 532,452.96 × 102,196.40
  4. Step 4: Simplify right side
    354,917.61x = 54,414,773,019.08
  5. Step 5: Solve for x
    x = 54,414,773,019.08/354,917.61
  6. Step 6: Final answer
    x = 153,316.63

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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.