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Finding the Fourth Proportional to 232,242.40, 347,780.40 and 152,927.20

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Solution

The fourth proportional to 232,242.40, 347,780.40 and 152,927.20 is: 229,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,242.40 : 347,780.40 = 152,927.20 : x
  2. Step 2: Convert to fraction form
    232,242.40/347,780.40 = 152,927.20/x
  3. Step 3: Cross multiply
    232,242.40x = 347,780.40 × 152,927.20
  4. Step 4: Simplify right side
    232,242.40x = 53,185,082,786.88
  5. Step 5: Solve for x
    x = 53,185,082,786.88/232,242.40
  6. Step 6: Final answer
    x = 229,006.77

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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.