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Finding the Fourth Proportional to 78,111.56, 107,793.38 and 42,300.74

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Solution

The fourth proportional to 78,111.56, 107,793.38 and 42,300.74 is: 58,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,111.56 : 107,793.38 = 42,300.74 : x
  2. Step 2: Convert to fraction form
    78,111.56/107,793.38 = 42,300.74/x
  3. Step 3: Cross multiply
    78,111.56x = 107,793.38 × 42,300.74
  4. Step 4: Simplify right side
    78,111.56x = 4,559,738,990.63
  5. Step 5: Solve for x
    x = 4,559,738,990.63/78,111.56
  6. Step 6: Final answer
    x = 58,374.71

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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.