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Finding the Fourth Proportional to 225,624.99, 338,225.49 and 75,760.16

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Solution

The fourth proportional to 225,624.99, 338,225.49 and 75,760.16 is: 113,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,624.99 : 338,225.49 = 75,760.16 : x
  2. Step 2: Convert to fraction form
    225,624.99/338,225.49 = 75,760.16/x
  3. Step 3: Cross multiply
    225,624.99x = 338,225.49 × 75,760.16
  4. Step 4: Simplify right side
    225,624.99x = 25,624,015,547.35
  5. Step 5: Solve for x
    x = 25,624,015,547.35/225,624.99
  6. Step 6: Final answer
    x = 113,569.05

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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.