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Finding the Fourth Proportional to 155,002.94, 232,287.80 and 83,772.01

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Solution

The fourth proportional to 155,002.94, 232,287.80 and 83,772.01 is: 125,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,002.94 : 232,287.80 = 83,772.01 : x
  2. Step 2: Convert to fraction form
    155,002.94/232,287.80 = 83,772.01/x
  3. Step 3: Cross multiply
    155,002.94x = 232,287.80 × 83,772.01
  4. Step 4: Simplify right side
    155,002.94x = 19,459,215,904.48
  5. Step 5: Solve for x
    x = 19,459,215,904.48/155,002.94
  6. Step 6: Final answer
    x = 125,540.95

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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.