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Finding the Fourth Proportional to 272,402.45, 408,515.70 and 99,269.51

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Solution

The fourth proportional to 272,402.45, 408,515.70 and 99,269.51 is: 148,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,402.45 : 408,515.70 = 99,269.51 : x
  2. Step 2: Convert to fraction form
    272,402.45/408,515.70 = 99,269.51/x
  3. Step 3: Cross multiply
    272,402.45x = 408,515.70 × 99,269.51
  4. Step 4: Simplify right side
    272,402.45x = 40,553,153,366.31
  5. Step 5: Solve for x
    x = 40,553,153,366.31/272,402.45
  6. Step 6: Final answer
    x = 148,872.20

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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.