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Finding the Fourth Proportional to 157,282.53, 217,052.36 and 85,662.51

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Solution

The fourth proportional to 157,282.53, 217,052.36 and 85,662.51 is: 118,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,282.53 : 217,052.36 = 85,662.51 : x
  2. Step 2: Convert to fraction form
    157,282.53/217,052.36 = 85,662.51/x
  3. Step 3: Cross multiply
    157,282.53x = 217,052.36 × 85,662.51
  4. Step 4: Simplify right side
    157,282.53x = 18,593,249,959.02
  5. Step 5: Solve for x
    x = 18,593,249,959.02/157,282.53
  6. Step 6: Final answer
    x = 118,215.61

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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.