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Finding the Fourth Proportional to 136,052.84, 187,742.12 and 75,618.74

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Solution

The fourth proportional to 136,052.84, 187,742.12 and 75,618.74 is: 104,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,052.84 : 187,742.12 = 75,618.74 : x
  2. Step 2: Convert to fraction form
    136,052.84/187,742.12 = 75,618.74/x
  3. Step 3: Cross multiply
    136,052.84x = 187,742.12 × 75,618.74
  4. Step 4: Simplify right side
    136,052.84x = 14,196,822,559.33
  5. Step 5: Solve for x
    x = 14,196,822,559.33/136,052.84
  6. Step 6: Final answer
    x = 104,347.86

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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.