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Finding the Fourth Proportional to 222,777.48, 334,253.70 and 98,031

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Solution

The fourth proportional to 222,777.48, 334,253.70 and 98,031 is: 147,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,777.48 : 334,253.70 = 98,031 : x
  2. Step 2: Convert to fraction form
    222,777.48/334,253.70 = 98,031/x
  3. Step 3: Cross multiply
    222,777.48x = 334,253.70 × 98,031
  4. Step 4: Simplify right side
    222,777.48x = 32,767,224,464.70
  5. Step 5: Solve for x
    x = 32,767,224,464.70/222,777.48
  6. Step 6: Final answer
    x = 147,084.99

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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.