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Finding the Fourth Proportional to 157,046.80, 216,727.46 and 85,427.40

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Solution

The fourth proportional to 157,046.80, 216,727.46 and 85,427.40 is: 117,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,046.80 : 216,727.46 = 85,427.40 : x
  2. Step 2: Convert to fraction form
    157,046.80/216,727.46 = 85,427.40/x
  3. Step 3: Cross multiply
    157,046.80x = 216,727.46 × 85,427.40
  4. Step 4: Simplify right side
    157,046.80x = 18,514,463,416.40
  5. Step 5: Solve for x
    x = 18,514,463,416.40/157,046.80
  6. Step 6: Final answer
    x = 117,891.38

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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.