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Finding the Fourth Proportional to 176,101.47, 264,037.29 and 115,947.84

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Solution

The fourth proportional to 176,101.47, 264,037.29 and 115,947.84 is: 173,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,101.47 : 264,037.29 = 115,947.84 : x
  2. Step 2: Convert to fraction form
    176,101.47/264,037.29 = 115,947.84/x
  3. Step 3: Cross multiply
    176,101.47x = 264,037.29 × 115,947.84
  4. Step 4: Simplify right side
    176,101.47x = 30,614,553,454.95
  5. Step 5: Solve for x
    x = 30,614,553,454.95/176,101.47
  6. Step 6: Final answer
    x = 173,846.10

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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.