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Finding the Fourth Proportional to 432,654.51, 649,043.28 and 133,160.05

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Solution

The fourth proportional to 432,654.51, 649,043.28 and 133,160.05 is: 199,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,654.51 : 649,043.28 = 133,160.05 : x
  2. Step 2: Convert to fraction form
    432,654.51/649,043.28 = 133,160.05/x
  3. Step 3: Cross multiply
    432,654.51x = 649,043.28 × 133,160.05
  4. Step 4: Simplify right side
    432,654.51x = 86,426,636,428.27
  5. Step 5: Solve for x
    x = 86,426,636,428.27/432,654.51
  6. Step 6: Final answer
    x = 199,759.01

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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.