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Finding the Fourth Proportional to 162,854.74, 224,738.31 and 91,235.35

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Solution

The fourth proportional to 162,854.74, 224,738.31 and 91,235.35 is: 125,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,854.74 : 224,738.31 = 91,235.35 : x
  2. Step 2: Convert to fraction form
    162,854.74/224,738.31 = 91,235.35/x
  3. Step 3: Cross multiply
    162,854.74x = 224,738.31 × 91,235.35
  4. Step 4: Simplify right side
    162,854.74x = 20,504,078,371.26
  5. Step 5: Solve for x
    x = 20,504,078,371.26/162,854.74
  6. Step 6: Final answer
    x = 125,904.09

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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.