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Finding the Fourth Proportional to 223,433.70, 334,961.73 and 96,978.30

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Solution

The fourth proportional to 223,433.70, 334,961.73 and 96,978.30 is: 145,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,433.70 : 334,961.73 = 96,978.30 : x
  2. Step 2: Convert to fraction form
    223,433.70/334,961.73 = 96,978.30/x
  3. Step 3: Cross multiply
    223,433.70x = 334,961.73 × 96,978.30
  4. Step 4: Simplify right side
    223,433.70x = 32,484,019,140.46
  5. Step 5: Solve for x
    x = 32,484,019,140.46/223,433.70
  6. Step 6: Final answer
    x = 145,385.50

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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.