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Finding the Fourth Proportional to 151,282.88, 226,924.32 and 40,472

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Solution

The fourth proportional to 151,282.88, 226,924.32 and 40,472 is: 60,708.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,282.88 : 226,924.32 = 40,472 : x
  2. Step 2: Convert to fraction form
    151,282.88/226,924.32 = 40,472/x
  3. Step 3: Cross multiply
    151,282.88x = 226,924.32 × 40,472
  4. Step 4: Simplify right side
    151,282.88x = 9,184,081,079.04
  5. Step 5: Solve for x
    x = 9,184,081,079.04/151,282.88
  6. Step 6: Final answer
    x = 60,708.00

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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.