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Finding the Fourth Proportional to 115,047.68, 172,539.86 and 72,864.50

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Solution

The fourth proportional to 115,047.68, 172,539.86 and 72,864.50 is: 109,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,047.68 : 172,539.86 = 72,864.50 : x
  2. Step 2: Convert to fraction form
    115,047.68/172,539.86 = 72,864.50/x
  3. Step 3: Cross multiply
    115,047.68x = 172,539.86 × 72,864.50
  4. Step 4: Simplify right side
    115,047.68x = 12,572,029,401.95
  5. Step 5: Solve for x
    x = 12,572,029,401.95/115,047.68
  6. Step 6: Final answer
    x = 109,276.69

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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.