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Finding the Fourth Proportional to 151,559.61, 209,164.19 and 83,582.79

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Solution

The fourth proportional to 151,559.61, 209,164.19 and 83,582.79 is: 115,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,559.61 : 209,164.19 = 83,582.79 : x
  2. Step 2: Convert to fraction form
    151,559.61/209,164.19 = 83,582.79/x
  3. Step 3: Cross multiply
    151,559.61x = 209,164.19 × 83,582.79
  4. Step 4: Simplify right side
    151,559.61x = 17,482,526,150.38
  5. Step 5: Solve for x
    x = 17,482,526,150.38/151,559.61
  6. Step 6: Final answer
    x = 115,350.83

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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.