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Finding the Fourth Proportional to 157,841.55, 217,826.01 and 86,222.75

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Solution

The fourth proportional to 157,841.55, 217,826.01 and 86,222.75 is: 118,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,841.55 : 217,826.01 = 86,222.75 : x
  2. Step 2: Convert to fraction form
    157,841.55/217,826.01 = 86,222.75/x
  3. Step 3: Cross multiply
    157,841.55x = 217,826.01 × 86,222.75
  4. Step 4: Simplify right side
    157,841.55x = 18,781,556,514.60
  5. Step 5: Solve for x
    x = 18,781,556,514.60/157,841.55
  6. Step 6: Final answer
    x = 118,989.94

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1.5x scale

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.