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Finding the Fourth Proportional to 140,833.84, 210,158.84 and 125,878

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Solution

The fourth proportional to 140,833.84, 210,158.84 and 125,878 is: 187,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,833.84 : 210,158.84 = 125,878 : x
  2. Step 2: Convert to fraction form
    140,833.84/210,158.84 = 125,878/x
  3. Step 3: Cross multiply
    140,833.84x = 210,158.84 × 125,878
  4. Step 4: Simplify right side
    140,833.84x = 26,454,374,461.52
  5. Step 5: Solve for x
    x = 26,454,374,461.52/140,833.84
  6. Step 6: Final answer
    x = 187,841.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.