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Finding the Fourth Proportional to 185,203.72, 255,580.68 and 100,322.20

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Solution

The fourth proportional to 185,203.72, 255,580.68 and 100,322.20 is: 138,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,203.72 : 255,580.68 = 100,322.20 : x
  2. Step 2: Convert to fraction form
    185,203.72/255,580.68 = 100,322.20/x
  3. Step 3: Cross multiply
    185,203.72x = 255,580.68 × 100,322.20
  4. Step 4: Simplify right side
    185,203.72x = 25,640,416,095.10
  5. Step 5: Solve for x
    x = 25,640,416,095.10/185,203.72
  6. Step 6: Final answer
    x = 138,444.39

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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.