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Finding the Fourth Proportional to 156,207.32, 234,262.49 and 56,354.50

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Solution

The fourth proportional to 156,207.32, 234,262.49 and 56,354.50 is: 84,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,207.32 : 234,262.49 = 56,354.50 : x
  2. Step 2: Convert to fraction form
    156,207.32/234,262.49 = 56,354.50/x
  3. Step 3: Cross multiply
    156,207.32x = 234,262.49 × 56,354.50
  4. Step 4: Simplify right side
    156,207.32x = 13,201,744,836.61
  5. Step 5: Solve for x
    x = 13,201,744,836.61/156,207.32
  6. Step 6: Final answer
    x = 84,514.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.