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Finding the Fourth Proportional to 115,975.80, 160,339.10 and 85,713.39

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Solution

The fourth proportional to 115,975.80, 160,339.10 and 85,713.39 is: 118,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,975.80 : 160,339.10 = 85,713.39 : x
  2. Step 2: Convert to fraction form
    115,975.80/160,339.10 = 85,713.39/x
  3. Step 3: Cross multiply
    115,975.80x = 160,339.10 × 85,713.39
  4. Step 4: Simplify right side
    115,975.80x = 13,743,207,381.98
  5. Step 5: Solve for x
    x = 13,743,207,381.98/115,975.80
  6. Step 6: Final answer
    x = 118,500.65

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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.