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Finding the Fourth Proportional to 225,815.64, 338,690.47 and 65,848.59

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Solution

The fourth proportional to 225,815.64, 338,690.47 and 65,848.59 is: 98,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,815.64 : 338,690.47 = 65,848.59 : x
  2. Step 2: Convert to fraction form
    225,815.64/338,690.47 = 65,848.59/x
  3. Step 3: Cross multiply
    225,815.64x = 338,690.47 × 65,848.59
  4. Step 4: Simplify right side
    225,815.64x = 22,302,289,895.94
  5. Step 5: Solve for x
    x = 22,302,289,895.94/225,815.64
  6. Step 6: Final answer
    x = 98,763.27

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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.