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Finding the Fourth Proportional to 232,238.40, 347,774.40 and 152,923.20

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Solution

The fourth proportional to 232,238.40, 347,774.40 and 152,923.20 is: 229,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,238.40 : 347,774.40 = 152,923.20 : x
  2. Step 2: Convert to fraction form
    232,238.40/347,774.40 = 152,923.20/x
  3. Step 3: Cross multiply
    232,238.40x = 347,774.40 × 152,923.20
  4. Step 4: Simplify right side
    232,238.40x = 53,182,774,126.08
  5. Step 5: Solve for x
    x = 53,182,774,126.08/232,238.40
  6. Step 6: Final answer
    x = 229,000.78

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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.