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Finding the Fourth Proportional to 137,041.92, 205,562.88 and 43,547.67

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Solution

The fourth proportional to 137,041.92, 205,562.88 and 43,547.67 is: 65,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,041.92 : 205,562.88 = 43,547.67 : x
  2. Step 2: Convert to fraction form
    137,041.92/205,562.88 = 43,547.67/x
  3. Step 3: Cross multiply
    137,041.92x = 205,562.88 × 43,547.67
  4. Step 4: Simplify right side
    137,041.92x = 8,951,784,462.49
  5. Step 5: Solve for x
    x = 8,951,784,462.49/137,041.92
  6. Step 6: Final answer
    x = 65,321.51

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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.