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Finding the Fourth Proportional to 102,152.20, 153,228.30 and 78,824.20

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Solution

The fourth proportional to 102,152.20, 153,228.30 and 78,824.20 is: 118,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,152.20 : 153,228.30 = 78,824.20 : x
  2. Step 2: Convert to fraction form
    102,152.20/153,228.30 = 78,824.20/x
  3. Step 3: Cross multiply
    102,152.20x = 153,228.30 × 78,824.20
  4. Step 4: Simplify right side
    102,152.20x = 12,078,098,164.86
  5. Step 5: Solve for x
    x = 12,078,098,164.86/102,152.20
  6. Step 6: Final answer
    x = 118,236.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.