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Finding the Fourth Proportional to 322,755.84, 484,133.76 and 98,115.84

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Solution

The fourth proportional to 322,755.84, 484,133.76 and 98,115.84 is: 147,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,755.84 : 484,133.76 = 98,115.84 : x
  2. Step 2: Convert to fraction form
    322,755.84/484,133.76 = 98,115.84/x
  3. Step 3: Cross multiply
    322,755.84x = 484,133.76 × 98,115.84
  4. Step 4: Simplify right side
    322,755.84x = 47,501,190,534.76
  5. Step 5: Solve for x
    x = 47,501,190,534.76/322,755.84
  6. Step 6: Final answer
    x = 147,173.76

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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.