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Finding the Fourth Proportional to 136,374.32, 204,552.48 and 65,347.76

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Solution

The fourth proportional to 136,374.32, 204,552.48 and 65,347.76 is: 98,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,374.32 : 204,552.48 = 65,347.76 : x
  2. Step 2: Convert to fraction form
    136,374.32/204,552.48 = 65,347.76/x
  3. Step 3: Cross multiply
    136,374.32x = 204,552.48 × 65,347.76
  4. Step 4: Simplify right side
    136,374.32x = 13,367,046,370.44
  5. Step 5: Solve for x
    x = 13,367,046,370.44/136,374.32
  6. Step 6: Final answer
    x = 98,017.33

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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.