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Finding the Fourth Proportional to 117,191.47, 175,641 and 57,170.47

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Solution

The fourth proportional to 117,191.47, 175,641 and 57,170.47 is: 85,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,191.47 : 175,641 = 57,170.47 : x
  2. Step 2: Convert to fraction form
    117,191.47/175,641 = 57,170.47/x
  3. Step 3: Cross multiply
    117,191.47x = 175,641 × 57,170.47
  4. Step 4: Simplify right side
    117,191.47x = 10,041,478,521.27
  5. Step 5: Solve for x
    x = 10,041,478,521.27/117,191.47
  6. Step 6: Final answer
    x = 85,684.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.