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Finding the Fourth Proportional to 223,278.37, 334,567.50 and 189,861.01

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Solution

The fourth proportional to 223,278.37, 334,567.50 and 189,861.01 is: 284,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,278.37 : 334,567.50 = 189,861.01 : x
  2. Step 2: Convert to fraction form
    223,278.37/334,567.50 = 189,861.01/x
  3. Step 3: Cross multiply
    223,278.37x = 334,567.50 × 189,861.01
  4. Step 4: Simplify right side
    223,278.37x = 63,521,323,463.18
  5. Step 5: Solve for x
    x = 63,521,323,463.18/223,278.37
  6. Step 6: Final answer
    x = 284,493.85

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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.