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Finding the Fourth Proportional to 150,264.30, 224,959.05 and 145,890.30

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Solution

The fourth proportional to 150,264.30, 224,959.05 and 145,890.30 is: 218,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264.30 : 224,959.05 = 145,890.30 : x
  2. Step 2: Convert to fraction form
    150,264.30/224,959.05 = 145,890.30/x
  3. Step 3: Cross multiply
    150,264.30x = 224,959.05 × 145,890.30
  4. Step 4: Simplify right side
    150,264.30x = 32,819,343,292.22
  5. Step 5: Solve for x
    x = 32,819,343,292.22/150,264.30
  6. Step 6: Final answer
    x = 218,410.78

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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.