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Finding the Fourth Proportional to 261,577.34, 361,086.42 and 176,809.22

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Solution

The fourth proportional to 261,577.34, 361,086.42 and 176,809.22 is: 244,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,577.34 : 361,086.42 = 176,809.22 : x
  2. Step 2: Convert to fraction form
    261,577.34/361,086.42 = 176,809.22/x
  3. Step 3: Cross multiply
    261,577.34x = 361,086.42 × 176,809.22
  4. Step 4: Simplify right side
    261,577.34x = 63,843,406,467.36
  5. Step 5: Solve for x
    x = 63,843,406,467.36/261,577.34
  6. Step 6: Final answer
    x = 244,070.87

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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.