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Finding the Fourth Proportional to 157,442.33, 217,268.64 and 85,820.78

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Solution

The fourth proportional to 157,442.33, 217,268.64 and 85,820.78 is: 118,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,442.33 : 217,268.64 = 85,820.78 : x
  2. Step 2: Convert to fraction form
    157,442.33/217,268.64 = 85,820.78/x
  3. Step 3: Cross multiply
    157,442.33x = 217,268.64 × 85,820.78
  4. Step 4: Simplify right side
    157,442.33x = 18,646,163,068.00
  5. Step 5: Solve for x
    x = 18,646,163,068.00/157,442.33
  6. Step 6: Final answer
    x = 118,431.71

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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.