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Finding the Fourth Proportional to 157,186.32, 216,917.14 and 85,566.88

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Solution

The fourth proportional to 157,186.32, 216,917.14 and 85,566.88 is: 118,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,186.32 : 216,917.14 = 85,566.88 : x
  2. Step 2: Convert to fraction form
    157,186.32/216,917.14 = 85,566.88/x
  3. Step 3: Cross multiply
    157,186.32x = 216,917.14 × 85,566.88
  4. Step 4: Simplify right side
    157,186.32x = 18,560,922,888.32
  5. Step 5: Solve for x
    x = 18,560,922,888.32/157,186.32
  6. Step 6: Final answer
    x = 118,082.30

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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.