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Finding the Fourth Proportional to 225,359.08, 311,206.28 and 144,926.24

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Solution

The fourth proportional to 225,359.08, 311,206.28 and 144,926.24 is: 200,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,359.08 : 311,206.28 = 144,926.24 : x
  2. Step 2: Convert to fraction form
    225,359.08/311,206.28 = 144,926.24/x
  3. Step 3: Cross multiply
    225,359.08x = 311,206.28 × 144,926.24
  4. Step 4: Simplify right side
    225,359.08x = 45,101,956,024.79
  5. Step 5: Solve for x
    x = 45,101,956,024.79/225,359.08
  6. Step 6: Final answer
    x = 200,133.74

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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.