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Finding the Fourth Proportional to 160,726.48, 241,086.52 and 49,918.16

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Solution

The fourth proportional to 160,726.48, 241,086.52 and 49,918.16 is: 74,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,726.48 : 241,086.52 = 49,918.16 : x
  2. Step 2: Convert to fraction form
    160,726.48/241,086.52 = 49,918.16/x
  3. Step 3: Cross multiply
    160,726.48x = 241,086.52 × 49,918.16
  4. Step 4: Simplify right side
    160,726.48x = 12,034,595,479.20
  5. Step 5: Solve for x
    x = 12,034,595,479.20/160,726.48
  6. Step 6: Final answer
    x = 74,876.25

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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.