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Finding the Fourth Proportional to 225,716.54, 311,476.83 and 130,217.54

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Solution

The fourth proportional to 225,716.54, 311,476.83 and 130,217.54 is: 179,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,716.54 : 311,476.83 = 130,217.54 : x
  2. Step 2: Convert to fraction form
    225,716.54/311,476.83 = 130,217.54/x
  3. Step 3: Cross multiply
    225,716.54x = 311,476.83 × 130,217.54
  4. Step 4: Simplify right side
    225,716.54x = 40,559,746,569.60
  5. Step 5: Solve for x
    x = 40,559,746,569.60/225,716.54
  6. Step 6: Final answer
    x = 179,693.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.