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Finding the Fourth Proportional to 185,862.94, 278,934.62 and 86,093.13

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Solution

The fourth proportional to 185,862.94, 278,934.62 and 86,093.13 is: 129,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,862.94 : 278,934.62 = 86,093.13 : x
  2. Step 2: Convert to fraction form
    185,862.94/278,934.62 = 86,093.13/x
  3. Step 3: Cross multiply
    185,862.94x = 278,934.62 × 86,093.13
  4. Step 4: Simplify right side
    185,862.94x = 24,014,354,070.70
  5. Step 5: Solve for x
    x = 24,014,354,070.70/185,862.94
  6. Step 6: Final answer
    x = 129,204.64

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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.