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Finding the Fourth Proportional to 432,084.33, 648,108.03 and 147,800.30

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Solution

The fourth proportional to 432,084.33, 648,108.03 and 147,800.30 is: 221,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,084.33 : 648,108.03 = 147,800.30 : x
  2. Step 2: Convert to fraction form
    432,084.33/648,108.03 = 147,800.30/x
  3. Step 3: Cross multiply
    432,084.33x = 648,108.03 × 147,800.30
  4. Step 4: Simplify right side
    432,084.33x = 95,790,562,681.43
  5. Step 5: Solve for x
    x = 95,790,562,681.43/432,084.33
  6. Step 6: Final answer
    x = 221,694.14

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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.