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Finding the Fourth Proportional to 177,726.30, 265,941.45 and 131,070.30

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Solution

The fourth proportional to 177,726.30, 265,941.45 and 131,070.30 is: 196,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,726.30 : 265,941.45 = 131,070.30 : x
  2. Step 2: Convert to fraction form
    177,726.30/265,941.45 = 131,070.30/x
  3. Step 3: Cross multiply
    177,726.30x = 265,941.45 × 131,070.30
  4. Step 4: Simplify right side
    177,726.30x = 34,857,025,633.94
  5. Step 5: Solve for x
    x = 34,857,025,633.94/177,726.30
  6. Step 6: Final answer
    x = 196,127.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.