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Finding the Fourth Proportional to 151,651.52, 227,292.80 and 107,291.06

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Solution

The fourth proportional to 151,651.52, 227,292.80 and 107,291.06 is: 160,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,651.52 : 227,292.80 = 107,291.06 : x
  2. Step 2: Convert to fraction form
    151,651.52/227,292.80 = 107,291.06/x
  3. Step 3: Cross multiply
    151,651.52x = 227,292.80 × 107,291.06
  4. Step 4: Simplify right side
    151,651.52x = 24,386,485,442.37
  5. Step 5: Solve for x
    x = 24,386,485,442.37/151,651.52
  6. Step 6: Final answer
    x = 160,806.07

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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.