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Finding the Fourth Proportional to 123,257.84, 184,773.36 and 67,015.76

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Solution

The fourth proportional to 123,257.84, 184,773.36 and 67,015.76 is: 100,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,257.84 : 184,773.36 = 67,015.76 : x
  2. Step 2: Convert to fraction form
    123,257.84/184,773.36 = 67,015.76/x
  3. Step 3: Cross multiply
    123,257.84x = 184,773.36 × 67,015.76
  4. Step 4: Simplify right side
    123,257.84x = 12,382,727,148.15
  5. Step 5: Solve for x
    x = 12,382,727,148.15/123,257.84
  6. Step 6: Final answer
    x = 100,461.98

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1.5x scale

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.