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Finding the Fourth Proportional to 207,269.70, 310,904.55 and 137,228.10

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Solution

The fourth proportional to 207,269.70, 310,904.55 and 137,228.10 is: 205,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,269.70 : 310,904.55 = 137,228.10 : x
  2. Step 2: Convert to fraction form
    207,269.70/310,904.55 = 137,228.10/x
  3. Step 3: Cross multiply
    207,269.70x = 310,904.55 × 137,228.10
  4. Step 4: Simplify right side
    207,269.70x = 42,664,840,677.86
  5. Step 5: Solve for x
    x = 42,664,840,677.86/207,269.70
  6. Step 6: Final answer
    x = 205,842.15

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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.