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Finding the Fourth Proportional to 432,176.56, 648,266.37 and 132,657.16

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Solution

The fourth proportional to 432,176.56, 648,266.37 and 132,657.16 is: 198,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,176.56 : 648,266.37 = 132,657.16 : x
  2. Step 2: Convert to fraction form
    432,176.56/648,266.37 = 132,657.16/x
  3. Step 3: Cross multiply
    432,176.56x = 648,266.37 × 132,657.16
  4. Step 4: Simplify right side
    432,176.56x = 85,997,172,326.38
  5. Step 5: Solve for x
    x = 85,997,172,326.38/432,176.56
  6. Step 6: Final answer
    x = 198,986.20

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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.