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Finding the Fourth Proportional to 150,769, 226,257.18 and 52,273

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Solution

The fourth proportional to 150,769, 226,257.18 and 52,273 is: 78,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,769 : 226,257.18 = 52,273 : x
  2. Step 2: Convert to fraction form
    150,769/226,257.18 = 52,273/x
  3. Step 3: Cross multiply
    150,769x = 226,257.18 × 52,273
  4. Step 4: Simplify right side
    150,769x = 11,827,141,570.14
  5. Step 5: Solve for x
    x = 11,827,141,570.14/150,769
  6. Step 6: Final answer
    x = 78,445.45

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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.