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Finding the Fourth Proportional to 316,222.76, 474,265.92 and 100,098.56

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Solution

The fourth proportional to 316,222.76, 474,265.92 and 100,098.56 is: 150,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,222.76 : 474,265.92 = 100,098.56 : x
  2. Step 2: Convert to fraction form
    316,222.76/474,265.92 = 100,098.56/x
  3. Step 3: Cross multiply
    316,222.76x = 474,265.92 × 100,098.56
  4. Step 4: Simplify right side
    316,222.76x = 47,473,335,649.08
  5. Step 5: Solve for x
    x = 47,473,335,649.08/316,222.76
  6. Step 6: Final answer
    x = 150,126.25

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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.