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Finding the Fourth Proportional to 151,264.68, 208,745.28 and 83,281.92

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Solution

The fourth proportional to 151,264.68, 208,745.28 and 83,281.92 is: 114,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,264.68 : 208,745.28 = 83,281.92 : x
  2. Step 2: Convert to fraction form
    151,264.68/208,745.28 = 83,281.92/x
  3. Step 3: Cross multiply
    151,264.68x = 208,745.28 × 83,281.92
  4. Step 4: Simplify right side
    151,264.68x = 17,384,707,709.34
  5. Step 5: Solve for x
    x = 17,384,707,709.34/151,264.68
  6. Step 6: Final answer
    x = 114,929.06

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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.