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Finding the Fourth Proportional to 247,627.80, 371,538.90 and 97,842.60

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Solution

The fourth proportional to 247,627.80, 371,538.90 and 97,842.60 is: 146,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,627.80 : 371,538.90 = 97,842.60 : x
  2. Step 2: Convert to fraction form
    247,627.80/371,538.90 = 97,842.60/x
  3. Step 3: Cross multiply
    247,627.80x = 371,538.90 × 97,842.60
  4. Step 4: Simplify right side
    247,627.80x = 36,352,331,977.14
  5. Step 5: Solve for x
    x = 36,352,331,977.14/247,627.80
  6. Step 6: Final answer
    x = 146,802.31

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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.