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Finding the Fourth Proportional to 142,807.28, 212,934.18 and 138,883.75

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Solution

The fourth proportional to 142,807.28, 212,934.18 and 138,883.75 is: 207,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,807.28 : 212,934.18 = 138,883.75 : x
  2. Step 2: Convert to fraction form
    142,807.28/212,934.18 = 138,883.75/x
  3. Step 3: Cross multiply
    142,807.28x = 212,934.18 × 138,883.75
  4. Step 4: Simplify right side
    142,807.28x = 29,573,095,662.49
  5. Step 5: Solve for x
    x = 29,573,095,662.49/142,807.28
  6. Step 6: Final answer
    x = 207,083.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.