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Finding the Fourth Proportional to 145,595.78, 218,446.22 and 50,839.93

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Solution

The fourth proportional to 145,595.78, 218,446.22 and 50,839.93 is: 76,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,595.78 : 218,446.22 = 50,839.93 : x
  2. Step 2: Convert to fraction form
    145,595.78/218,446.22 = 50,839.93/x
  3. Step 3: Cross multiply
    145,595.78x = 218,446.22 × 50,839.93
  4. Step 4: Simplify right side
    145,595.78x = 11,105,789,187.13
  5. Step 5: Solve for x
    x = 11,105,789,187.13/145,595.78
  6. Step 6: Final answer
    x = 76,278.24

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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.