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Finding the Fourth Proportional to 302,400.84, 453,703.24 and 133,898.16

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Solution

The fourth proportional to 302,400.84, 453,703.24 and 133,898.16 is: 200,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,400.84 : 453,703.24 = 133,898.16 : x
  2. Step 2: Convert to fraction form
    302,400.84/453,703.24 = 133,898.16/x
  3. Step 3: Cross multiply
    302,400.84x = 453,703.24 × 133,898.16
  4. Step 4: Simplify right side
    302,400.84x = 60,750,029,022.04
  5. Step 5: Solve for x
    x = 60,750,029,022.04/302,400.84
  6. Step 6: Final answer
    x = 200,892.40

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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.