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Finding the Fourth Proportional to 210,081.74, 315,141.84 and 83,691.36

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Solution

The fourth proportional to 210,081.74, 315,141.84 and 83,691.36 is: 125,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,081.74 : 315,141.84 = 83,691.36 : x
  2. Step 2: Convert to fraction form
    210,081.74/315,141.84 = 83,691.36/x
  3. Step 3: Cross multiply
    210,081.74x = 315,141.84 × 83,691.36
  4. Step 4: Simplify right side
    210,081.74x = 26,374,649,182.50
  5. Step 5: Solve for x
    x = 26,374,649,182.50/210,081.74
  6. Step 6: Final answer
    x = 125,544.70

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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.