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Finding the Fourth Proportional to 247,644.10, 371,356.80 and 97,834.60

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Solution

The fourth proportional to 247,644.10, 371,356.80 and 97,834.60 is: 146,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,644.10 : 371,356.80 = 97,834.60 : x
  2. Step 2: Convert to fraction form
    247,644.10/371,356.80 = 97,834.60/x
  3. Step 3: Cross multiply
    247,644.10x = 371,356.80 × 97,834.60
  4. Step 4: Simplify right side
    247,644.10x = 36,331,543,985.28
  5. Step 5: Solve for x
    x = 36,331,543,985.28/247,644.10
  6. Step 6: Final answer
    x = 146,708.70

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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.