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Finding the Fourth Proportional to 302,504.32, 453,650.71 and 89,215.66

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Solution

The fourth proportional to 302,504.32, 453,650.71 and 89,215.66 is: 133,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,504.32 : 453,650.71 = 89,215.66 : x
  2. Step 2: Convert to fraction form
    302,504.32/453,650.71 = 89,215.66/x
  3. Step 3: Cross multiply
    302,504.32x = 453,650.71 × 89,215.66
  4. Step 4: Simplify right side
    302,504.32x = 40,472,747,056.04
  5. Step 5: Solve for x
    x = 40,472,747,056.04/302,504.32
  6. Step 6: Final answer
    x = 133,792.29

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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.