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Finding the Fourth Proportional to 221,754, 332,674.80 and 113,410.08

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Solution

The fourth proportional to 221,754, 332,674.80 and 113,410.08 is: 170,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,754 : 332,674.80 = 113,410.08 : x
  2. Step 2: Convert to fraction form
    221,754/332,674.80 = 113,410.08/x
  3. Step 3: Cross multiply
    221,754x = 332,674.80 × 113,410.08
  4. Step 4: Simplify right side
    221,754x = 37,728,675,681.98
  5. Step 5: Solve for x
    x = 37,728,675,681.98/221,754
  6. Step 6: Final answer
    x = 170,137.52

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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.