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Finding the Fourth Proportional to 137,424.94, 207,073.52 and 113,011.80

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Solution

The fourth proportional to 137,424.94, 207,073.52 and 113,011.80 is: 170,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,424.94 : 207,073.52 = 113,011.80 : x
  2. Step 2: Convert to fraction form
    137,424.94/207,073.52 = 113,011.80/x
  3. Step 3: Cross multiply
    137,424.94x = 207,073.52 × 113,011.80
  4. Step 4: Simplify right side
    137,424.94x = 23,401,750,662.48
  5. Step 5: Solve for x
    x = 23,401,750,662.48/137,424.94
  6. Step 6: Final answer
    x = 170,287.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.