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Finding the Fourth Proportional to 158,320.95, 218,483.22 and 85,724.59

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Solution

The fourth proportional to 158,320.95, 218,483.22 and 85,724.59 is: 118,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,320.95 : 218,483.22 = 85,724.59 : x
  2. Step 2: Convert to fraction form
    158,320.95/218,483.22 = 85,724.59/x
  3. Step 3: Cross multiply
    158,320.95x = 218,483.22 × 85,724.59
  4. Step 4: Simplify right side
    158,320.95x = 18,729,384,456.38
  5. Step 5: Solve for x
    x = 18,729,384,456.38/158,320.95
  6. Step 6: Final answer
    x = 118,300.10

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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.