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Finding the Fourth Proportional to 223,058.16, 334,674.36 and 98,311.68

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Solution

The fourth proportional to 223,058.16, 334,674.36 and 98,311.68 is: 147,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,058.16 : 334,674.36 = 98,311.68 : x
  2. Step 2: Convert to fraction form
    223,058.16/334,674.36 = 98,311.68/x
  3. Step 3: Cross multiply
    223,058.16x = 334,674.36 × 98,311.68
  4. Step 4: Simplify right side
    223,058.16x = 32,902,398,584.52
  5. Step 5: Solve for x
    x = 32,902,398,584.52/223,058.16
  6. Step 6: Final answer
    x = 147,505.92

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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.