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Finding the Fourth Proportional to 176,593.32, 264,740.67 and 76,677.93

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Solution

The fourth proportional to 176,593.32, 264,740.67 and 76,677.93 is: 114,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,593.32 : 264,740.67 = 76,677.93 : x
  2. Step 2: Convert to fraction form
    176,593.32/264,740.67 = 76,677.93/x
  3. Step 3: Cross multiply
    176,593.32x = 264,740.67 × 76,677.93
  4. Step 4: Simplify right side
    176,593.32x = 20,299,766,562.41
  5. Step 5: Solve for x
    x = 20,299,766,562.41/176,593.32
  6. Step 6: Final answer
    x = 114,952.06

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Why These Related Problems?

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