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Finding the Fourth Proportional to 100,146.71, 150,216.15 and 25,265.92

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Solution

The fourth proportional to 100,146.71, 150,216.15 and 25,265.92 is: 37,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,146.71 : 150,216.15 = 25,265.92 : x
  2. Step 2: Convert to fraction form
    100,146.71/150,216.15 = 25,265.92/x
  3. Step 3: Cross multiply
    100,146.71x = 150,216.15 × 25,265.92
  4. Step 4: Simplify right side
    100,146.71x = 3,795,349,228.61
  5. Step 5: Solve for x
    x = 3,795,349,228.61/100,146.71
  6. Step 6: Final answer
    x = 37,897.89

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1.5x scale

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.