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Finding the Fourth Proportional to 302,711.20, 453,742.80 and 102,846.40

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Solution

The fourth proportional to 302,711.20, 453,742.80 and 102,846.40 is: 154,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,711.20 : 453,742.80 = 102,846.40 : x
  2. Step 2: Convert to fraction form
    302,711.20/453,742.80 = 102,846.40/x
  3. Step 3: Cross multiply
    302,711.20x = 453,742.80 × 102,846.40
  4. Step 4: Simplify right side
    302,711.20x = 46,665,813,505.92
  5. Step 5: Solve for x
    x = 46,665,813,505.92/302,711.20
  6. Step 6: Final answer
    x = 154,159.52

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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.