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Finding the Fourth Proportional to 157,214.57, 216,956.13 and 85,594.59

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Solution

The fourth proportional to 157,214.57, 216,956.13 and 85,594.59 is: 118,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,214.57 : 216,956.13 = 85,594.59 : x
  2. Step 2: Convert to fraction form
    157,214.57/216,956.13 = 85,594.59/x
  3. Step 3: Cross multiply
    157,214.57x = 216,956.13 × 85,594.59
  4. Step 4: Simplify right side
    157,214.57x = 18,570,270,995.34
  5. Step 5: Solve for x
    x = 18,570,270,995.34/157,214.57
  6. Step 6: Final answer
    x = 118,120.55

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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.