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Finding the Fourth Proportional to 157,206.69, 216,949.13 and 85,590.64

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Solution

The fourth proportional to 157,206.69, 216,949.13 and 85,590.64 is: 118,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,206.69 : 216,949.13 = 85,590.64 : x
  2. Step 2: Convert to fraction form
    157,206.69/216,949.13 = 85,590.64/x
  3. Step 3: Cross multiply
    157,206.69x = 216,949.13 × 85,590.64
  4. Step 4: Simplify right side
    157,206.69x = 18,568,814,884.14
  5. Step 5: Solve for x
    x = 18,568,814,884.14/157,206.69
  6. Step 6: Final answer
    x = 118,117.21

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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.