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Finding the Fourth Proportional to 302,614.30, 453,964.65 and 102,943.90

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Solution

The fourth proportional to 302,614.30, 453,964.65 and 102,943.90 is: 154,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,614.30 : 453,964.65 = 102,943.90 : x
  2. Step 2: Convert to fraction form
    302,614.30/453,964.65 = 102,943.90/x
  3. Step 3: Cross multiply
    302,614.30x = 453,964.65 × 102,943.90
  4. Step 4: Simplify right side
    302,614.30x = 46,732,891,533.14
  5. Step 5: Solve for x
    x = 46,732,891,533.14/302,614.30
  6. Step 6: Final answer
    x = 154,430.55

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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.