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Finding the Fourth Proportional to 150,470, 225,709.89 and 55,724.07

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Solution

The fourth proportional to 150,470, 225,709.89 and 55,724.07 is: 83,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,470 : 225,709.89 = 55,724.07 : x
  2. Step 2: Convert to fraction form
    150,470/225,709.89 = 55,724.07/x
  3. Step 3: Cross multiply
    150,470x = 225,709.89 × 55,724.07
  4. Step 4: Simplify right side
    150,470x = 12,577,473,710.05
  5. Step 5: Solve for x
    x = 12,577,473,710.05/150,470
  6. Step 6: Final answer
    x = 83,587.92

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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.