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Finding the Fourth Proportional to 302,005.68, 453,063.20 and 124,414

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Solution

The fourth proportional to 302,005.68, 453,063.20 and 124,414 is: 186,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,005.68 : 453,063.20 = 124,414 : x
  2. Step 2: Convert to fraction form
    302,005.68/453,063.20 = 124,414/x
  3. Step 3: Cross multiply
    302,005.68x = 453,063.20 × 124,414
  4. Step 4: Simplify right side
    302,005.68x = 56,367,404,964.80
  5. Step 5: Solve for x
    x = 56,367,404,964.80/302,005.68
  6. Step 6: Final answer
    x = 186,643.53

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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.