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Finding the Fourth Proportional to 150,857.16, 208,182.96 and 83,789.16

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Solution

The fourth proportional to 150,857.16, 208,182.96 and 83,789.16 is: 115,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,857.16 : 208,182.96 = 83,789.16 : x
  2. Step 2: Convert to fraction form
    150,857.16/208,182.96 = 83,789.16/x
  3. Step 3: Cross multiply
    150,857.16x = 208,182.96 × 83,789.16
  4. Step 4: Simplify right side
    150,857.16x = 17,443,475,344.71
  5. Step 5: Solve for x
    x = 17,443,475,344.71/150,857.16
  6. Step 6: Final answer
    x = 115,629.08

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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.