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Finding the Fourth Proportional to 104,878.34, 157,177.37 and 38,255.84

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Solution

The fourth proportional to 104,878.34, 157,177.37 and 38,255.84 is: 57,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,878.34 : 157,177.37 = 38,255.84 : x
  2. Step 2: Convert to fraction form
    104,878.34/157,177.37 = 38,255.84/x
  3. Step 3: Cross multiply
    104,878.34x = 157,177.37 × 38,255.84
  4. Step 4: Simplify right side
    104,878.34x = 6,012,951,628.09
  5. Step 5: Solve for x
    x = 6,012,951,628.09/104,878.34
  6. Step 6: Final answer
    x = 57,332.64

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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.