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Finding the Fourth Proportional to 78,119.34, 107,804.82 and 42,309.66

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Solution

The fourth proportional to 78,119.34, 107,804.82 and 42,309.66 is: 58,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,119.34 : 107,804.82 = 42,309.66 : x
  2. Step 2: Convert to fraction form
    78,119.34/107,804.82 = 42,309.66/x
  3. Step 3: Cross multiply
    78,119.34x = 107,804.82 × 42,309.66
  4. Step 4: Simplify right side
    78,119.34x = 4,561,185,280.56
  5. Step 5: Solve for x
    x = 4,561,185,280.56/78,119.34
  6. Step 6: Final answer
    x = 58,387.40

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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.