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Finding the Fourth Proportional to 156,429.16, 234,713.50 and 72,144

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Solution

The fourth proportional to 156,429.16, 234,713.50 and 72,144 is: 108,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,429.16 : 234,713.50 = 72,144 : x
  2. Step 2: Convert to fraction form
    156,429.16/234,713.50 = 72,144/x
  3. Step 3: Cross multiply
    156,429.16x = 234,713.50 × 72,144
  4. Step 4: Simplify right side
    156,429.16x = 16,933,170,563.64
  5. Step 5: Solve for x
    x = 16,933,170,563.64/156,429.16
  6. Step 6: Final answer
    x = 108,248.17

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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.