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Finding the Fourth Proportional to 247,761.84, 341,903.52 and 140,341.80

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Solution

The fourth proportional to 247,761.84, 341,903.52 and 140,341.80 is: 193,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,761.84 : 341,903.52 = 140,341.80 : x
  2. Step 2: Convert to fraction form
    247,761.84/341,903.52 = 140,341.80/x
  3. Step 3: Cross multiply
    247,761.84x = 341,903.52 × 140,341.80
  4. Step 4: Simplify right side
    247,761.84x = 47,983,355,423.14
  5. Step 5: Solve for x
    x = 47,983,355,423.14/247,761.84
  6. Step 6: Final answer
    x = 193,667.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.