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Finding the Fourth Proportional to 276,710.80, 415,066.20 and 89,722.30

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Solution

The fourth proportional to 276,710.80, 415,066.20 and 89,722.30 is: 134,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,710.80 : 415,066.20 = 89,722.30 : x
  2. Step 2: Convert to fraction form
    276,710.80/415,066.20 = 89,722.30/x
  3. Step 3: Cross multiply
    276,710.80x = 415,066.20 × 89,722.30
  4. Step 4: Simplify right side
    276,710.80x = 37,240,694,116.26
  5. Step 5: Solve for x
    x = 37,240,694,116.26/276,710.80
  6. Step 6: Final answer
    x = 134,583.45

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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.