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Finding the Fourth Proportional to 146,085.53, 201,599.48 and 85,691.93

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Solution

The fourth proportional to 146,085.53, 201,599.48 and 85,691.93 is: 118,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,085.53 : 201,599.48 = 85,691.93 : x
  2. Step 2: Convert to fraction form
    146,085.53/201,599.48 = 85,691.93/x
  3. Step 3: Cross multiply
    146,085.53x = 201,599.48 × 85,691.93
  4. Step 4: Simplify right side
    146,085.53x = 17,275,447,734.43
  5. Step 5: Solve for x
    x = 17,275,447,734.43/146,085.53
  6. Step 6: Final answer
    x = 118,255.71

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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.