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Finding the Fourth Proportional to 138,412.20, 207,618.30 and 103,420.20

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Solution

The fourth proportional to 138,412.20, 207,618.30 and 103,420.20 is: 155,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,412.20 : 207,618.30 = 103,420.20 : x
  2. Step 2: Convert to fraction form
    138,412.20/207,618.30 = 103,420.20/x
  3. Step 3: Cross multiply
    138,412.20x = 207,618.30 × 103,420.20
  4. Step 4: Simplify right side
    138,412.20x = 21,471,926,109.66
  5. Step 5: Solve for x
    x = 21,471,926,109.66/138,412.20
  6. Step 6: Final answer
    x = 155,130.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.