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Finding the Fourth Proportional to 138,995.20, 208,492.80 and 76,787.20

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Solution

The fourth proportional to 138,995.20, 208,492.80 and 76,787.20 is: 115,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,995.20 : 208,492.80 = 76,787.20 : x
  2. Step 2: Convert to fraction form
    138,995.20/208,492.80 = 76,787.20/x
  3. Step 3: Cross multiply
    138,995.20x = 208,492.80 × 76,787.20
  4. Step 4: Simplify right side
    138,995.20x = 16,009,578,332.16
  5. Step 5: Solve for x
    x = 16,009,578,332.16/138,995.20
  6. Step 6: Final answer
    x = 115,180.80

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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.