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Finding the Fourth Proportional to 135,547.74, 187,050.78 and 75,116.82

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Solution

The fourth proportional to 135,547.74, 187,050.78 and 75,116.82 is: 103,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,547.74 : 187,050.78 = 75,116.82 : x
  2. Step 2: Convert to fraction form
    135,547.74/187,050.78 = 75,116.82/x
  3. Step 3: Cross multiply
    135,547.74x = 187,050.78 × 75,116.82
  4. Step 4: Simplify right side
    135,547.74x = 14,050,659,772.12
  5. Step 5: Solve for x
    x = 14,050,659,772.12/135,547.74
  6. Step 6: Final answer
    x = 103,658.38

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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.