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Finding the Fourth Proportional to 221,065.20, 330,892.20 and 174,409.20

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Solution

The fourth proportional to 221,065.20, 330,892.20 and 174,409.20 is: 261,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,065.20 : 330,892.20 = 174,409.20 : x
  2. Step 2: Convert to fraction form
    221,065.20/330,892.20 = 174,409.20/x
  3. Step 3: Cross multiply
    221,065.20x = 330,892.20 × 174,409.20
  4. Step 4: Simplify right side
    221,065.20x = 57,710,643,888.24
  5. Step 5: Solve for x
    x = 57,710,643,888.24/221,065.20
  6. Step 6: Final answer
    x = 261,057.12

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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.