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Finding the Fourth Proportional to 157,057.82, 216,739.63 and 85,437.68

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Solution

The fourth proportional to 157,057.82, 216,739.63 and 85,437.68 is: 117,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,057.82 : 216,739.63 = 85,437.68 : x
  2. Step 2: Convert to fraction form
    157,057.82/216,739.63 = 85,437.68/x
  3. Step 3: Cross multiply
    157,057.82x = 216,739.63 × 85,437.68
  4. Step 4: Simplify right side
    157,057.82x = 18,517,729,853.97
  5. Step 5: Solve for x
    x = 18,517,729,853.97/157,057.82
  6. Step 6: Final answer
    x = 117,903.90

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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.