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Finding the Fourth Proportional to 261,752.27, 361,236.80 and 148,582.31

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Solution

The fourth proportional to 261,752.27, 361,236.80 and 148,582.31 is: 205,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,752.27 : 361,236.80 = 148,582.31 : x
  2. Step 2: Convert to fraction form
    261,752.27/361,236.80 = 148,582.31/x
  3. Step 3: Cross multiply
    261,752.27x = 361,236.80 × 148,582.31
  4. Step 4: Simplify right side
    261,752.27x = 53,673,397,458.10
  5. Step 5: Solve for x
    x = 53,673,397,458.10/261,752.27
  6. Step 6: Final answer
    x = 205,054.18

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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.