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Finding the Fourth Proportional to 157,768.66, 217,719.66 and 86,148.64

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Solution

The fourth proportional to 157,768.66, 217,719.66 and 86,148.64 is: 118,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,768.66 : 217,719.66 = 86,148.64 : x
  2. Step 2: Convert to fraction form
    157,768.66/217,719.66 = 86,148.64/x
  3. Step 3: Cross multiply
    157,768.66x = 217,719.66 × 86,148.64
  4. Step 4: Simplify right side
    157,768.66x = 18,756,252,610.26
  5. Step 5: Solve for x
    x = 18,756,252,610.26/157,768.66
  6. Step 6: Final answer
    x = 118,884.53

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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.