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Finding the Fourth Proportional to 144,212.48, 215,892.72 and 106,522.24

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Solution

The fourth proportional to 144,212.48, 215,892.72 and 106,522.24 is: 159,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,212.48 : 215,892.72 = 106,522.24 : x
  2. Step 2: Convert to fraction form
    144,212.48/215,892.72 = 106,522.24/x
  3. Step 3: Cross multiply
    144,212.48x = 215,892.72 × 106,522.24
  4. Step 4: Simplify right side
    144,212.48x = 22,997,376,134.09
  5. Step 5: Solve for x
    x = 22,997,376,134.09/144,212.48
  6. Step 6: Final answer
    x = 159,468.70

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1.5x scale

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.