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Finding the Fourth Proportional to 157,186.83, 216,917.84 and 85,567.38

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Solution

The fourth proportional to 157,186.83, 216,917.84 and 85,567.38 is: 118,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,186.83 : 216,917.84 = 85,567.38 : x
  2. Step 2: Convert to fraction form
    157,186.83/216,917.84 = 85,567.38/x
  3. Step 3: Cross multiply
    157,186.83x = 216,917.84 × 85,567.38
  4. Step 4: Simplify right side
    157,186.83x = 18,561,091,244.06
  5. Step 5: Solve for x
    x = 18,561,091,244.06/157,186.83
  6. Step 6: Final answer
    x = 118,082.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.