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Finding the Fourth Proportional to 207,628.80, 310,924.80 and 137,126.40

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Solution

The fourth proportional to 207,628.80, 310,924.80 and 137,126.40 is: 205,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,628.80 : 310,924.80 = 137,126.40 : x
  2. Step 2: Convert to fraction form
    207,628.80/310,924.80 = 137,126.40/x
  3. Step 3: Cross multiply
    207,628.80x = 310,924.80 × 137,126.40
  4. Step 4: Simplify right side
    207,628.80x = 42,635,998,494.72
  5. Step 5: Solve for x
    x = 42,635,998,494.72/207,628.80
  6. Step 6: Final answer
    x = 205,347.23

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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.