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Finding the Fourth Proportional to 205,854.25, 308,869.69 and 79,583.17

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Solution

The fourth proportional to 205,854.25, 308,869.69 and 79,583.17 is: 119,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,854.25 : 308,869.69 = 79,583.17 : x
  2. Step 2: Convert to fraction form
    205,854.25/308,869.69 = 79,583.17/x
  3. Step 3: Cross multiply
    205,854.25x = 308,869.69 × 79,583.17
  4. Step 4: Simplify right side
    205,854.25x = 24,580,829,047.12
  5. Step 5: Solve for x
    x = 24,580,829,047.12/205,854.25
  6. Step 6: Final answer
    x = 119,408.90

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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.