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Finding the Fourth Proportional to 102,538.60, 153,807.90 and 100,234.60

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Solution

The fourth proportional to 102,538.60, 153,807.90 and 100,234.60 is: 150,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538.60 : 153,807.90 = 100,234.60 : x
  2. Step 2: Convert to fraction form
    102,538.60/153,807.90 = 100,234.60/x
  3. Step 3: Cross multiply
    102,538.60x = 153,807.90 × 100,234.60
  4. Step 4: Simplify right side
    102,538.60x = 15,416,873,333.34
  5. Step 5: Solve for x
    x = 15,416,873,333.34/102,538.60
  6. Step 6: Final answer
    x = 150,351.90

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1.5x scale

Why These Related Problems?

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