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Finding the Fourth Proportional to 182,219.84, 273,341.28 and 77,024.96

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Solution

The fourth proportional to 182,219.84, 273,341.28 and 77,024.96 is: 115,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,219.84 : 273,341.28 = 77,024.96 : x
  2. Step 2: Convert to fraction form
    182,219.84/273,341.28 = 77,024.96/x
  3. Step 3: Cross multiply
    182,219.84x = 273,341.28 × 77,024.96
  4. Step 4: Simplify right side
    182,219.84x = 21,054,101,158.35
  5. Step 5: Solve for x
    x = 21,054,101,158.35/182,219.84
  6. Step 6: Final answer
    x = 115,542.31

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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.