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Finding the Fourth Proportional to 148,338.38, 204,656.61 and 83,798.19

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Solution

The fourth proportional to 148,338.38, 204,656.61 and 83,798.19 is: 115,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,338.38 : 204,656.61 = 83,798.19 : x
  2. Step 2: Convert to fraction form
    148,338.38/204,656.61 = 83,798.19/x
  3. Step 3: Cross multiply
    148,338.38x = 204,656.61 × 83,798.19
  4. Step 4: Simplify right side
    148,338.38x = 17,149,852,047.26
  5. Step 5: Solve for x
    x = 17,149,852,047.26/148,338.38
  6. Step 6: Final answer
    x = 115,613.05

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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.