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Finding the Fourth Proportional to 267,422.32, 369,045.63 and 146,560.93

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Solution

The fourth proportional to 267,422.32, 369,045.63 and 146,560.93 is: 202,255.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,422.32 : 369,045.63 = 146,560.93 : x
  2. Step 2: Convert to fraction form
    267,422.32/369,045.63 = 146,560.93/x
  3. Step 3: Cross multiply
    267,422.32x = 369,045.63 × 146,560.93
  4. Step 4: Simplify right side
    267,422.32x = 54,087,670,745.24
  5. Step 5: Solve for x
    x = 54,087,670,745.24/267,422.32
  6. Step 6: Final answer
    x = 202,255.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.