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Finding the Fourth Proportional to 229,714.68, 317,002.86 and 129,111.96

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Solution

The fourth proportional to 229,714.68, 317,002.86 and 129,111.96 is: 178,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,714.68 : 317,002.86 = 129,111.96 : x
  2. Step 2: Convert to fraction form
    229,714.68/317,002.86 = 129,111.96/x
  3. Step 3: Cross multiply
    229,714.68x = 317,002.86 × 129,111.96
  4. Step 4: Simplify right side
    229,714.68x = 40,928,860,580.21
  5. Step 5: Solve for x
    x = 40,928,860,580.21/229,714.68
  6. Step 6: Final answer
    x = 178,172.59

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