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Finding the Fourth Proportional to 100,314.92, 150,472.95 and 25,435.22

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Solution

The fourth proportional to 100,314.92, 150,472.95 and 25,435.22 is: 38,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,314.92 : 150,472.95 = 25,435.22 : x
  2. Step 2: Convert to fraction form
    100,314.92/150,472.95 = 25,435.22/x
  3. Step 3: Cross multiply
    100,314.92x = 150,472.95 × 25,435.22
  4. Step 4: Simplify right side
    100,314.92x = 3,827,312,963.48
  5. Step 5: Solve for x
    x = 3,827,312,963.48/100,314.92
  6. Step 6: Final answer
    x = 38,152.98

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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.