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Finding the Fourth Proportional to 178,092, 245,766.96 and 98,604

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Solution

The fourth proportional to 178,092, 245,766.96 and 98,604 is: 136,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,092 : 245,766.96 = 98,604 : x
  2. Step 2: Convert to fraction form
    178,092/245,766.96 = 98,604/x
  3. Step 3: Cross multiply
    178,092x = 245,766.96 × 98,604
  4. Step 4: Simplify right side
    178,092x = 24,233,605,323.84
  5. Step 5: Solve for x
    x = 24,233,605,323.84/178,092
  6. Step 6: Final answer
    x = 136,073.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.