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Finding the Fourth Proportional to 265,686.80, 366,629.47 and 149,417.66

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Solution

The fourth proportional to 265,686.80, 366,629.47 and 149,417.66 is: 206,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,686.80 : 366,629.47 = 149,417.66 : x
  2. Step 2: Convert to fraction form
    265,686.80/366,629.47 = 149,417.66/x
  3. Step 3: Cross multiply
    265,686.80x = 366,629.47 × 149,417.66
  4. Step 4: Simplify right side
    265,686.80x = 54,780,915,848.06
  5. Step 5: Solve for x
    x = 54,780,915,848.06/265,686.80
  6. Step 6: Final answer
    x = 206,186.06

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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.