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Finding the Fourth Proportional to 261,645.09, 361,074 and 146,948.55

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Solution

The fourth proportional to 261,645.09, 361,074 and 146,948.55 is: 202,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,645.09 : 361,074 = 146,948.55 : x
  2. Step 2: Convert to fraction form
    261,645.09/361,074 = 146,948.55/x
  3. Step 3: Cross multiply
    261,645.09x = 361,074 × 146,948.55
  4. Step 4: Simplify right side
    261,645.09x = 53,059,300,742.70
  5. Step 5: Solve for x
    x = 53,059,300,742.70/261,645.09
  6. Step 6: Final answer
    x = 202,791.12

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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.