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Finding the Fourth Proportional to 261,443.01, 360,709.08 and 146,704.79

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Solution

The fourth proportional to 261,443.01, 360,709.08 and 146,704.79 is: 202,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,443.01 : 360,709.08 = 146,704.79 : x
  2. Step 2: Convert to fraction form
    261,443.01/360,709.08 = 146,704.79/x
  3. Step 3: Cross multiply
    261,443.01x = 360,709.08 × 146,704.79
  4. Step 4: Simplify right side
    261,443.01x = 52,917,748,028.95
  5. Step 5: Solve for x
    x = 52,917,748,028.95/261,443.01
  6. Step 6: Final answer
    x = 202,406.44

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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.