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Finding the Fourth Proportional to 177,838.16, 266,757.23 and 72,657.12

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Solution

The fourth proportional to 177,838.16, 266,757.23 and 72,657.12 is: 108,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,838.16 : 266,757.23 = 72,657.12 : x
  2. Step 2: Convert to fraction form
    177,838.16/266,757.23 = 72,657.12/x
  3. Step 3: Cross multiply
    177,838.16x = 266,757.23 × 72,657.12
  4. Step 4: Simplify right side
    177,838.16x = 19,381,811,707.69
  5. Step 5: Solve for x
    x = 19,381,811,707.69/177,838.16
  6. Step 6: Final answer
    x = 108,985.68

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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.