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Finding the Fourth Proportional to 159,255.81, 238,702.64 and 83,237.18

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Solution

The fourth proportional to 159,255.81, 238,702.64 and 83,237.18 is: 124,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,255.81 : 238,702.64 = 83,237.18 : x
  2. Step 2: Convert to fraction form
    159,255.81/238,702.64 = 83,237.18/x
  3. Step 3: Cross multiply
    159,255.81x = 238,702.64 × 83,237.18
  4. Step 4: Simplify right side
    159,255.81x = 19,868,933,002.46
  5. Step 5: Solve for x
    x = 19,868,933,002.46/159,255.81
  6. Step 6: Final answer
    x = 124,761.12

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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.