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Finding the Fourth Proportional to 333,693.84, 500,192.59 and 165,108.95

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Solution

The fourth proportional to 333,693.84, 500,192.59 and 165,108.95 is: 247,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,693.84 : 500,192.59 = 165,108.95 : x
  2. Step 2: Convert to fraction form
    333,693.84/500,192.59 = 165,108.95/x
  3. Step 3: Cross multiply
    333,693.84x = 500,192.59 × 165,108.95
  4. Step 4: Simplify right side
    333,693.84x = 82,586,273,332.68
  5. Step 5: Solve for x
    x = 82,586,273,332.68/333,693.84
  6. Step 6: Final answer
    x = 247,491.15

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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.