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Finding the Fourth Proportional to 302,651.38, 453,363.47 and 140,317.38

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Solution

The fourth proportional to 302,651.38, 453,363.47 and 140,317.38 is: 210,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,651.38 : 453,363.47 = 140,317.38 : x
  2. Step 2: Convert to fraction form
    302,651.38/453,363.47 = 140,317.38/x
  3. Step 3: Cross multiply
    302,651.38x = 453,363.47 × 140,317.38
  4. Step 4: Simplify right side
    302,651.38x = 63,614,774,298.11
  5. Step 5: Solve for x
    x = 63,614,774,298.11/302,651.38
  6. Step 6: Final answer
    x = 210,191.59

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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.