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Finding the Fourth Proportional to 223,023, 334,468.89 and 65,213.94

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Solution

The fourth proportional to 223,023, 334,468.89 and 65,213.94 is: 97,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,023 : 334,468.89 = 65,213.94 : x
  2. Step 2: Convert to fraction form
    223,023/334,468.89 = 65,213.94/x
  3. Step 3: Cross multiply
    223,023x = 334,468.89 × 65,213.94
  4. Step 4: Simplify right side
    223,023x = 21,812,034,124.33
  5. Step 5: Solve for x
    x = 21,812,034,124.33/223,023
  6. Step 6: Final answer
    x = 97,801.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.