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Finding the Fourth Proportional to 205,412.60, 308,118.90 and 137,761.40

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Solution

The fourth proportional to 205,412.60, 308,118.90 and 137,761.40 is: 206,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,412.60 : 308,118.90 = 137,761.40 : x
  2. Step 2: Convert to fraction form
    205,412.60/308,118.90 = 137,761.40/x
  3. Step 3: Cross multiply
    205,412.60x = 308,118.90 × 137,761.40
  4. Step 4: Simplify right side
    205,412.60x = 42,446,891,030.46
  5. Step 5: Solve for x
    x = 42,446,891,030.46/205,412.60
  6. Step 6: Final answer
    x = 206,642.10

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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.