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Finding the Fourth Proportional to 261,897.32, 361,418.34 and 142,665.32

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Solution

The fourth proportional to 261,897.32, 361,418.34 and 142,665.32 is: 196,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,897.32 : 361,418.34 = 142,665.32 : x
  2. Step 2: Convert to fraction form
    261,897.32/361,418.34 = 142,665.32/x
  3. Step 3: Cross multiply
    261,897.32x = 361,418.34 × 142,665.32
  4. Step 4: Simplify right side
    261,897.32x = 51,561,863,129.97
  5. Step 5: Solve for x
    x = 51,561,863,129.97/261,897.32
  6. Step 6: Final answer
    x = 196,878.16

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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.