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Finding the Fourth Proportional to 78,117.57, 107,801.67 and 42,306.75

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Solution

The fourth proportional to 78,117.57, 107,801.67 and 42,306.75 is: 58,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.57 : 107,801.67 = 42,306.75 : x
  2. Step 2: Convert to fraction form
    78,117.57/107,801.67 = 42,306.75/x
  3. Step 3: Cross multiply
    78,117.57x = 107,801.67 × 42,306.75
  4. Step 4: Simplify right side
    78,117.57x = 4,560,738,302.27
  5. Step 5: Solve for x
    x = 4,560,738,302.27/78,117.57
  6. Step 6: Final answer
    x = 58,383.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.