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Finding the Fourth Proportional to 323,008.85, 484,156.50 and 133,364.66

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Solution

The fourth proportional to 323,008.85, 484,156.50 and 133,364.66 is: 199,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,008.85 : 484,156.50 = 133,364.66 : x
  2. Step 2: Convert to fraction form
    323,008.85/484,156.50 = 133,364.66/x
  3. Step 3: Cross multiply
    323,008.85x = 484,156.50 × 133,364.66
  4. Step 4: Simplify right side
    323,008.85x = 64,569,367,009.29
  5. Step 5: Solve for x
    x = 64,569,367,009.29/323,008.85
  6. Step 6: Final answer
    x = 199,899.68

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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.