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Finding the Fourth Proportional to 134,442.88, 185,514.24 and 77,853.76

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Solution

The fourth proportional to 134,442.88, 185,514.24 and 77,853.76 is: 107,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,442.88 : 185,514.24 = 77,853.76 : x
  2. Step 2: Convert to fraction form
    134,442.88/185,514.24 = 77,853.76/x
  3. Step 3: Cross multiply
    134,442.88x = 185,514.24 × 77,853.76
  4. Step 4: Simplify right side
    134,442.88x = 14,442,981,117.54
  5. Step 5: Solve for x
    x = 14,442,981,117.54/134,442.88
  6. Step 6: Final answer
    x = 107,428.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.