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Finding the Fourth Proportional to 150,641.64, 225,729.06 and 95,121

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Solution

The fourth proportional to 150,641.64, 225,729.06 and 95,121 is: 142,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,641.64 : 225,729.06 = 95,121 : x
  2. Step 2: Convert to fraction form
    150,641.64/225,729.06 = 95,121/x
  3. Step 3: Cross multiply
    150,641.64x = 225,729.06 × 95,121
  4. Step 4: Simplify right side
    150,641.64x = 21,471,573,916.26
  5. Step 5: Solve for x
    x = 21,471,573,916.26/150,641.64
  6. Step 6: Final answer
    x = 142,534.12

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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.