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Finding the Fourth Proportional to 302,049, 452,790.36 and 102,229.56

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Solution

The fourth proportional to 302,049, 452,790.36 and 102,229.56 is: 153,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,049 : 452,790.36 = 102,229.56 : x
  2. Step 2: Convert to fraction form
    302,049/452,790.36 = 102,229.56/x
  3. Step 3: Cross multiply
    302,049x = 452,790.36 × 102,229.56
  4. Step 4: Simplify right side
    302,049x = 46,288,559,275.04
  5. Step 5: Solve for x
    x = 46,288,559,275.04/302,049
  6. Step 6: Final answer
    x = 153,248.51

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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.