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Finding the Fourth Proportional to 123,486.24, 185,258.64 and 40,380

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Solution

The fourth proportional to 123,486.24, 185,258.64 and 40,380 is: 60,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,486.24 : 185,258.64 = 40,380 : x
  2. Step 2: Convert to fraction form
    123,486.24/185,258.64 = 40,380/x
  3. Step 3: Cross multiply
    123,486.24x = 185,258.64 × 40,380
  4. Step 4: Simplify right side
    123,486.24x = 7,480,743,883.20
  5. Step 5: Solve for x
    x = 7,480,743,883.20/123,486.24
  6. Step 6: Final answer
    x = 60,579.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.