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Finding the Fourth Proportional to 160,230, 240,348.24 and 49,422

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Solution

The fourth proportional to 160,230, 240,348.24 and 49,422 is: 74,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,230 : 240,348.24 = 49,422 : x
  2. Step 2: Convert to fraction form
    160,230/240,348.24 = 49,422/x
  3. Step 3: Cross multiply
    160,230x = 240,348.24 × 49,422
  4. Step 4: Simplify right side
    160,230x = 11,878,490,717.28
  5. Step 5: Solve for x
    x = 11,878,490,717.28/160,230
  6. Step 6: Final answer
    x = 74,134.00

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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.