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Finding the Fourth Proportional to 261,788.21, 361,258.07 and 159,983.99

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Solution

The fourth proportional to 261,788.21, 361,258.07 and 159,983.99 is: 220,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,788.21 : 361,258.07 = 159,983.99 : x
  2. Step 2: Convert to fraction form
    261,788.21/361,258.07 = 159,983.99/x
  3. Step 3: Cross multiply
    261,788.21x = 361,258.07 × 159,983.99
  4. Step 4: Simplify right side
    261,788.21x = 57,795,506,658.38
  5. Step 5: Solve for x
    x = 57,795,506,658.38/261,788.21
  6. Step 6: Final answer
    x = 220,772.00

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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.