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Finding the Fourth Proportional to 432,282.02, 648,208.56 and 147,892.13

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Solution

The fourth proportional to 432,282.02, 648,208.56 and 147,892.13 is: 221,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,282.02 : 648,208.56 = 147,892.13 : x
  2. Step 2: Convert to fraction form
    432,282.02/648,208.56 = 147,892.13/x
  3. Step 3: Cross multiply
    432,282.02x = 648,208.56 × 147,892.13
  4. Step 4: Simplify right side
    432,282.02x = 95,864,941,381.59
  5. Step 5: Solve for x
    x = 95,864,941,381.59/432,282.02
  6. Step 6: Final answer
    x = 221,764.82

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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.