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Finding the Fourth Proportional to 185,345.26, 255,776.73 and 100,462.30

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Solution

The fourth proportional to 185,345.26, 255,776.73 and 100,462.30 is: 138,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,345.26 : 255,776.73 = 100,462.30 : x
  2. Step 2: Convert to fraction form
    185,345.26/255,776.73 = 100,462.30/x
  3. Step 3: Cross multiply
    185,345.26x = 255,776.73 × 100,462.30
  4. Step 4: Simplify right side
    185,345.26x = 25,695,918,582.28
  5. Step 5: Solve for x
    x = 25,695,918,582.28/185,345.26
  6. Step 6: Final answer
    x = 138,638.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.