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Finding the Fourth Proportional to 175,802.49, 263,711.02 and 51,143.49

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Solution

The fourth proportional to 175,802.49, 263,711.02 and 51,143.49 is: 76,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,802.49 : 263,711.02 = 51,143.49 : x
  2. Step 2: Convert to fraction form
    175,802.49/263,711.02 = 51,143.49/x
  3. Step 3: Cross multiply
    175,802.49x = 263,711.02 × 51,143.49
  4. Step 4: Simplify right side
    175,802.49x = 13,487,101,914.26
  5. Step 5: Solve for x
    x = 13,487,101,914.26/175,802.49
  6. Step 6: Final answer
    x = 76,717.35

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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.