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Finding the Fourth Proportional to 98,471.16, 147,838.02 and 83,774.52

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Solution

The fourth proportional to 98,471.16, 147,838.02 and 83,774.52 is: 125,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,471.16 : 147,838.02 = 83,774.52 : x
  2. Step 2: Convert to fraction form
    98,471.16/147,838.02 = 83,774.52/x
  3. Step 3: Cross multiply
    98,471.16x = 147,838.02 × 83,774.52
  4. Step 4: Simplify right side
    98,471.16x = 12,385,059,163.25
  5. Step 5: Solve for x
    x = 12,385,059,163.25/98,471.16
  6. Step 6: Final answer
    x = 125,773.47

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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.