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Finding the Fourth Proportional to 272,948.49, 409,549.54 and 104,413.10

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Solution

The fourth proportional to 272,948.49, 409,549.54 and 104,413.10 is: 156,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,948.49 : 409,549.54 = 104,413.10 : x
  2. Step 2: Convert to fraction form
    272,948.49/409,549.54 = 104,413.10/x
  3. Step 3: Cross multiply
    272,948.49x = 409,549.54 × 104,413.10
  4. Step 4: Simplify right side
    272,948.49x = 42,762,337,074.97
  5. Step 5: Solve for x
    x = 42,762,337,074.97/272,948.49
  6. Step 6: Final answer
    x = 156,668.16

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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.