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Finding the Fourth Proportional to 100,242.36, 138,332.34 and 54,918.14

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Solution

The fourth proportional to 100,242.36, 138,332.34 and 54,918.14 is: 75,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,242.36 : 138,332.34 = 54,918.14 : x
  2. Step 2: Convert to fraction form
    100,242.36/138,332.34 = 54,918.14/x
  3. Step 3: Cross multiply
    100,242.36x = 138,332.34 × 54,918.14
  4. Step 4: Simplify right side
    100,242.36x = 7,596,954,122.99
  5. Step 5: Solve for x
    x = 7,596,954,122.99/100,242.36
  6. Step 6: Final answer
    x = 75,785.87

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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.