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Finding the Fourth Proportional to 185,419.38, 255,876.93 and 100,534.98

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Solution

The fourth proportional to 185,419.38, 255,876.93 and 100,534.98 is: 138,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,419.38 : 255,876.93 = 100,534.98 : x
  2. Step 2: Convert to fraction form
    185,419.38/255,876.93 = 100,534.98/x
  3. Step 3: Cross multiply
    185,419.38x = 255,876.93 × 100,534.98
  4. Step 4: Simplify right side
    185,419.38x = 25,724,582,040.01
  5. Step 5: Solve for x
    x = 25,724,582,040.01/185,419.38
  6. Step 6: Final answer
    x = 138,737.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.