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Finding the Fourth Proportional to 157,612.64, 217,506.67 and 85,993.25

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Solution

The fourth proportional to 157,612.64, 217,506.67 and 85,993.25 is: 118,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,612.64 : 217,506.67 = 85,993.25 : x
  2. Step 2: Convert to fraction form
    157,612.64/217,506.67 = 85,993.25/x
  3. Step 3: Cross multiply
    157,612.64x = 217,506.67 × 85,993.25
  4. Step 4: Simplify right side
    157,612.64x = 18,704,104,147.46
  5. Step 5: Solve for x
    x = 18,704,104,147.46/157,612.64
  6. Step 6: Final answer
    x = 118,671.35

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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.