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Finding the Fourth Proportional to 225,505.68, 311,193.24 and 130,006.68

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Solution

The fourth proportional to 225,505.68, 311,193.24 and 130,006.68 is: 179,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,505.68 : 311,193.24 = 130,006.68 : x
  2. Step 2: Convert to fraction form
    225,505.68/311,193.24 = 130,006.68/x
  3. Step 3: Cross multiply
    225,505.68x = 311,193.24 × 130,006.68
  4. Step 4: Simplify right side
    225,505.68x = 40,457,199,970.84
  5. Step 5: Solve for x
    x = 40,457,199,970.84/225,505.68
  6. Step 6: Final answer
    x = 179,406.57

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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.