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Finding the Fourth Proportional to 225,784.68, 338,832.54 and 78,040.68

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Solution

The fourth proportional to 225,784.68, 338,832.54 and 78,040.68 is: 117,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,784.68 : 338,832.54 = 78,040.68 : x
  2. Step 2: Convert to fraction form
    225,784.68/338,832.54 = 78,040.68/x
  3. Step 3: Cross multiply
    225,784.68x = 338,832.54 × 78,040.68
  4. Step 4: Simplify right side
    225,784.68x = 26,442,721,827.73
  5. Step 5: Solve for x
    x = 26,442,721,827.73/225,784.68
  6. Step 6: Final answer
    x = 117,114.77

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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.