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Finding the Fourth Proportional to 157,205.67, 216,948.36 and 85,586.91

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Solution

The fourth proportional to 157,205.67, 216,948.36 and 85,586.91 is: 118,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,205.67 : 216,948.36 = 85,586.91 : x
  2. Step 2: Convert to fraction form
    157,205.67/216,948.36 = 85,586.91/x
  3. Step 3: Cross multiply
    157,205.67x = 216,948.36 × 85,586.91
  4. Step 4: Simplify right side
    157,205.67x = 18,567,939,761.97
  5. Step 5: Solve for x
    x = 18,567,939,761.97/157,205.67
  6. Step 6: Final answer
    x = 118,112.40

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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.