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Finding the Fourth Proportional to 432,729.74, 649,156.04 and 133,235.21

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Solution

The fourth proportional to 432,729.74, 649,156.04 and 133,235.21 is: 199,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,729.74 : 649,156.04 = 133,235.21 : x
  2. Step 2: Convert to fraction form
    432,729.74/649,156.04 = 133,235.21/x
  3. Step 3: Cross multiply
    432,729.74x = 649,156.04 × 133,235.21
  4. Step 4: Simplify right side
    432,729.74x = 86,490,441,312.17
  5. Step 5: Solve for x
    x = 86,490,441,312.17/432,729.74
  6. Step 6: Final answer
    x = 199,871.73

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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.