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Finding the Fourth Proportional to 496,115.84, 744,160.32 and 141,154.24

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Solution

The fourth proportional to 496,115.84, 744,160.32 and 141,154.24 is: 211,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,115.84 : 744,160.32 = 141,154.24 : x
  2. Step 2: Convert to fraction form
    496,115.84/744,160.32 = 141,154.24/x
  3. Step 3: Cross multiply
    496,115.84x = 744,160.32 × 141,154.24
  4. Step 4: Simplify right side
    496,115.84x = 105,041,384,407.76
  5. Step 5: Solve for x
    x = 105,041,384,407.76/496,115.84
  6. Step 6: Final answer
    x = 211,727.54

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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.