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Finding the Fourth Proportional to 152,238.60, 228,357.90 and 147,864.60

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Solution

The fourth proportional to 152,238.60, 228,357.90 and 147,864.60 is: 221,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,238.60 : 228,357.90 = 147,864.60 : x
  2. Step 2: Convert to fraction form
    152,238.60/228,357.90 = 147,864.60/x
  3. Step 3: Cross multiply
    152,238.60x = 228,357.90 × 147,864.60
  4. Step 4: Simplify right side
    152,238.60x = 33,766,049,540.34
  5. Step 5: Solve for x
    x = 33,766,049,540.34/152,238.60
  6. Step 6: Final answer
    x = 221,796.90

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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.