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Finding the Fourth Proportional to 189,381.47, 261,692.88 and 180,155.97

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Solution

The fourth proportional to 189,381.47, 261,692.88 and 180,155.97 is: 248,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,381.47 : 261,692.88 = 180,155.97 : x
  2. Step 2: Convert to fraction form
    189,381.47/261,692.88 = 180,155.97/x
  3. Step 3: Cross multiply
    189,381.47x = 261,692.88 × 180,155.97
  4. Step 4: Simplify right side
    189,381.47x = 47,145,533,962.91
  5. Step 5: Solve for x
    x = 47,145,533,962.91/189,381.47
  6. Step 6: Final answer
    x = 248,944.82

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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.