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Finding the Fourth Proportional to 223,432.85, 334,960.34 and 96,978.05

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Solution

The fourth proportional to 223,432.85, 334,960.34 and 96,978.05 is: 145,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,432.85 : 334,960.34 = 96,978.05 : x
  2. Step 2: Convert to fraction form
    223,432.85/334,960.34 = 96,978.05/x
  3. Step 3: Cross multiply
    223,432.85x = 334,960.34 × 96,978.05
  4. Step 4: Simplify right side
    223,432.85x = 32,483,798,440.85
  5. Step 5: Solve for x
    x = 32,483,798,440.85/223,432.85
  6. Step 6: Final answer
    x = 145,385.06

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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.