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Finding the Fourth Proportional to 140,671.84, 211,007.76 and 47,177.32

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Solution

The fourth proportional to 140,671.84, 211,007.76 and 47,177.32 is: 70,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,671.84 : 211,007.76 = 47,177.32 : x
  2. Step 2: Convert to fraction form
    140,671.84/211,007.76 = 47,177.32/x
  3. Step 3: Cross multiply
    140,671.84x = 211,007.76 × 47,177.32
  4. Step 4: Simplify right side
    140,671.84x = 9,954,780,616.00
  5. Step 5: Solve for x
    x = 9,954,780,616.00/140,671.84
  6. Step 6: Final answer
    x = 70,765.98

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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.