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Finding the Fourth Proportional to 185,102.16, 255,441 and 100,219.20

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Solution

The fourth proportional to 185,102.16, 255,441 and 100,219.20 is: 138,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,102.16 : 255,441 = 100,219.20 : x
  2. Step 2: Convert to fraction form
    185,102.16/255,441 = 100,219.20/x
  3. Step 3: Cross multiply
    185,102.16x = 255,441 × 100,219.20
  4. Step 4: Simplify right side
    185,102.16x = 25,600,092,667.20
  5. Step 5: Solve for x
    x = 25,600,092,667.20/185,102.16
  6. Step 6: Final answer
    x = 138,302.51

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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.