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Finding the Fourth Proportional to 160,275.36, 240,531.16 and 76,035.78

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Solution

The fourth proportional to 160,275.36, 240,531.16 and 76,035.78 is: 114,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,275.36 : 240,531.16 = 76,035.78 : x
  2. Step 2: Convert to fraction form
    160,275.36/240,531.16 = 76,035.78/x
  3. Step 3: Cross multiply
    160,275.36x = 240,531.16 × 76,035.78
  4. Step 4: Simplify right side
    160,275.36x = 18,288,974,364.90
  5. Step 5: Solve for x
    x = 18,288,974,364.90/160,275.36
  6. Step 6: Final answer
    x = 114,109.71

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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.