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Finding the Fourth Proportional to 181,178.88, 272,027.52 and 102,278.40

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Solution

The fourth proportional to 181,178.88, 272,027.52 and 102,278.40 is: 153,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,178.88 : 272,027.52 = 102,278.40 : x
  2. Step 2: Convert to fraction form
    181,178.88/272,027.52 = 102,278.40/x
  3. Step 3: Cross multiply
    181,178.88x = 272,027.52 × 102,278.40
  4. Step 4: Simplify right side
    181,178.88x = 27,822,539,501.57
  5. Step 5: Solve for x
    x = 27,822,539,501.57/181,178.88
  6. Step 6: Final answer
    x = 153,563.92

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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.