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Finding the Fourth Proportional to 225,345.96, 310,977.52 and 123,378.03

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Solution

The fourth proportional to 225,345.96, 310,977.52 and 123,378.03 is: 170,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,345.96 : 310,977.52 = 123,378.03 : x
  2. Step 2: Convert to fraction form
    225,345.96/310,977.52 = 123,378.03/x
  3. Step 3: Cross multiply
    225,345.96x = 310,977.52 × 123,378.03
  4. Step 4: Simplify right side
    225,345.96x = 38,367,793,483.44
  5. Step 5: Solve for x
    x = 38,367,793,483.44/225,345.96
  6. Step 6: Final answer
    x = 170,261.73

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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.