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Finding the Fourth Proportional to 178,417.97, 246,194.17 and 97,824.29

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Solution

The fourth proportional to 178,417.97, 246,194.17 and 97,824.29 is: 134,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,417.97 : 246,194.17 = 97,824.29 : x
  2. Step 2: Convert to fraction form
    178,417.97/246,194.17 = 97,824.29/x
  3. Step 3: Cross multiply
    178,417.97x = 246,194.17 × 97,824.29
  4. Step 4: Simplify right side
    178,417.97x = 24,083,768,406.86
  5. Step 5: Solve for x
    x = 24,083,768,406.86/178,417.97
  6. Step 6: Final answer
    x = 134,985.11

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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.