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Finding the Fourth Proportional to 106,814, 147,400.88 and 59,067.74

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Solution

The fourth proportional to 106,814, 147,400.88 and 59,067.74 is: 81,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814 : 147,400.88 = 59,067.74 : x
  2. Step 2: Convert to fraction form
    106,814/147,400.88 = 59,067.74/x
  3. Step 3: Cross multiply
    106,814x = 147,400.88 × 59,067.74
  4. Step 4: Simplify right side
    106,814x = 8,706,636,855.61
  5. Step 5: Solve for x
    x = 8,706,636,855.61/106,814
  6. Step 6: Final answer
    x = 81,512.13

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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.