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Finding the Fourth Proportional to 185,140.92, 255,492.98 and 100,257.98

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Solution

The fourth proportional to 185,140.92, 255,492.98 and 100,257.98 is: 138,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,140.92 : 255,492.98 = 100,257.98 : x
  2. Step 2: Convert to fraction form
    185,140.92/255,492.98 = 100,257.98/x
  3. Step 3: Cross multiply
    185,140.92x = 255,492.98 × 100,257.98
  4. Step 4: Simplify right side
    185,140.92x = 25,615,209,958.72
  5. Step 5: Solve for x
    x = 25,615,209,958.72/185,140.92
  6. Step 6: Final answer
    x = 138,355.21

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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.