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Finding the Fourth Proportional to 119,101.52, 178,574.52 and 47,977.04

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Solution

The fourth proportional to 119,101.52, 178,574.52 and 47,977.04 is: 71,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,101.52 : 178,574.52 = 47,977.04 : x
  2. Step 2: Convert to fraction form
    119,101.52/178,574.52 = 47,977.04/x
  3. Step 3: Cross multiply
    119,101.52x = 178,574.52 × 47,977.04
  4. Step 4: Simplify right side
    119,101.52x = 8,567,476,889.02
  5. Step 5: Solve for x
    x = 8,567,476,889.02/119,101.52
  6. Step 6: Final answer
    x = 71,934.24

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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.