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Finding the Fourth Proportional to 261,076.98, 360,304.05 and 147,900.66

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Solution

The fourth proportional to 261,076.98, 360,304.05 and 147,900.66 is: 204,113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,076.98 : 360,304.05 = 147,900.66 : x
  2. Step 2: Convert to fraction form
    261,076.98/360,304.05 = 147,900.66/x
  3. Step 3: Cross multiply
    261,076.98x = 360,304.05 × 147,900.66
  4. Step 4: Simplify right side
    261,076.98x = 53,289,206,795.67
  5. Step 5: Solve for x
    x = 53,289,206,795.67/261,076.98
  6. Step 6: Final answer
    x = 204,113.00

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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.