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Finding the Fourth Proportional to 117,074.16, 175,433.85 and 77,489.46

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Solution

The fourth proportional to 117,074.16, 175,433.85 and 77,489.46 is: 116,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,074.16 : 175,433.85 = 77,489.46 : x
  2. Step 2: Convert to fraction form
    117,074.16/175,433.85 = 77,489.46/x
  3. Step 3: Cross multiply
    117,074.16x = 175,433.85 × 77,489.46
  4. Step 4: Simplify right side
    117,074.16x = 13,594,274,302.22
  5. Step 5: Solve for x
    x = 13,594,274,302.22/117,074.16
  6. Step 6: Final answer
    x = 116,116.78

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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.