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Finding the Fourth Proportional to 172,854, 238,538.52 and 97,405.20

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Solution

The fourth proportional to 172,854, 238,538.52 and 97,405.20 is: 134,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,854 : 238,538.52 = 97,405.20 : x
  2. Step 2: Convert to fraction form
    172,854/238,538.52 = 97,405.20/x
  3. Step 3: Cross multiply
    172,854x = 238,538.52 × 97,405.20
  4. Step 4: Simplify right side
    172,854x = 23,234,892,248.30
  5. Step 5: Solve for x
    x = 23,234,892,248.30/172,854
  6. Step 6: Final answer
    x = 134,419.18

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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.