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Finding the Fourth Proportional to 302,500.98, 453,751.47 and 102,964.57

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Solution

The fourth proportional to 302,500.98, 453,751.47 and 102,964.57 is: 154,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,500.98 : 453,751.47 = 102,964.57 : x
  2. Step 2: Convert to fraction form
    302,500.98/453,751.47 = 102,964.57/x
  3. Step 3: Cross multiply
    302,500.98x = 453,751.47 × 102,964.57
  4. Step 4: Simplify right side
    302,500.98x = 46,720,323,861.04
  5. Step 5: Solve for x
    x = 46,720,323,861.04/302,500.98
  6. Step 6: Final answer
    x = 154,446.85

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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.