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Finding the Fourth Proportional to 207,615.80, 310,905.30 and 137,113.40

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Solution

The fourth proportional to 207,615.80, 310,905.30 and 137,113.40 is: 205,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,615.80 : 310,905.30 = 137,113.40 : x
  2. Step 2: Convert to fraction form
    207,615.80/310,905.30 = 137,113.40/x
  3. Step 3: Cross multiply
    207,615.80x = 310,905.30 × 137,113.40
  4. Step 4: Simplify right side
    207,615.80x = 42,629,282,761.02
  5. Step 5: Solve for x
    x = 42,629,282,761.02/207,615.80
  6. Step 6: Final answer
    x = 205,327.74

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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.