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Finding the Fourth Proportional to 102,383.38, 141,300.54 and 57,065.50

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Solution

The fourth proportional to 102,383.38, 141,300.54 and 57,065.50 is: 78,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,383.38 : 141,300.54 = 57,065.50 : x
  2. Step 2: Convert to fraction form
    102,383.38/141,300.54 = 57,065.50/x
  3. Step 3: Cross multiply
    102,383.38x = 141,300.54 × 57,065.50
  4. Step 4: Simplify right side
    102,383.38x = 8,063,385,965.37
  5. Step 5: Solve for x
    x = 8,063,385,965.37/102,383.38
  6. Step 6: Final answer
    x = 78,756.79

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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.