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Finding the Fourth Proportional to 225,686.12, 338,551.52 and 83,569.32

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Solution

The fourth proportional to 225,686.12, 338,551.52 and 83,569.32 is: 125,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,686.12 : 338,551.52 = 83,569.32 : x
  2. Step 2: Convert to fraction form
    225,686.12/338,551.52 = 83,569.32/x
  3. Step 3: Cross multiply
    225,686.12x = 338,551.52 × 83,569.32
  4. Step 4: Simplify right side
    225,686.12x = 28,292,519,893.52
  5. Step 5: Solve for x
    x = 28,292,519,893.52/225,686.12
  6. Step 6: Final answer
    x = 125,362.25

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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.