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Finding the Fourth Proportional to 149,984.28, 225,038.52 and 65,700.90

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Solution

The fourth proportional to 149,984.28, 225,038.52 and 65,700.90 is: 98,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,984.28 : 225,038.52 = 65,700.90 : x
  2. Step 2: Convert to fraction form
    149,984.28/225,038.52 = 65,700.90/x
  3. Step 3: Cross multiply
    149,984.28x = 225,038.52 × 65,700.90
  4. Step 4: Simplify right side
    149,984.28x = 14,785,233,298.67
  5. Step 5: Solve for x
    x = 14,785,233,298.67/149,984.28
  6. Step 6: Final answer
    x = 98,578.55

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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.