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Finding the Fourth Proportional to 265,577.76, 366,488.01 and 149,287.68

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Solution

The fourth proportional to 265,577.76, 366,488.01 and 149,287.68 is: 206,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,577.76 : 366,488.01 = 149,287.68 : x
  2. Step 2: Convert to fraction form
    265,577.76/366,488.01 = 149,287.68/x
  3. Step 3: Cross multiply
    265,577.76x = 366,488.01 × 149,287.68
  4. Step 4: Simplify right side
    265,577.76x = 54,712,144,760.72
  5. Step 5: Solve for x
    x = 54,712,144,760.72/265,577.76
  6. Step 6: Final answer
    x = 206,011.77

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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.