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Finding the Fourth Proportional to 283,752.92, 425,754.77 and 148,784.76

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Solution

The fourth proportional to 283,752.92, 425,754.77 and 148,784.76 is: 223,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,752.92 : 425,754.77 = 148,784.76 : x
  2. Step 2: Convert to fraction form
    283,752.92/425,754.77 = 148,784.76/x
  3. Step 3: Cross multiply
    283,752.92x = 425,754.77 × 148,784.76
  4. Step 4: Simplify right side
    283,752.92x = 63,345,820,529.38
  5. Step 5: Solve for x
    x = 63,345,820,529.38/283,752.92
  6. Step 6: Final answer
    x = 223,242.88

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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.