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Finding the Fourth Proportional to 223,651, 335,232.50 and 109,877.12

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Solution

The fourth proportional to 223,651, 335,232.50 and 109,877.12 is: 164,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,651 : 335,232.50 = 109,877.12 : x
  2. Step 2: Convert to fraction form
    223,651/335,232.50 = 109,877.12/x
  3. Step 3: Cross multiply
    223,651x = 335,232.50 × 109,877.12
  4. Step 4: Simplify right side
    223,651x = 36,834,381,630.40
  5. Step 5: Solve for x
    x = 36,834,381,630.40/223,651
  6. Step 6: Final answer
    x = 164,695.81

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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.