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Finding the Fourth Proportional to 97,974.71, 146,953.49 and 69,393.51

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Solution

The fourth proportional to 97,974.71, 146,953.49 and 69,393.51 is: 104,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,974.71 : 146,953.49 = 69,393.51 : x
  2. Step 2: Convert to fraction form
    97,974.71/146,953.49 = 69,393.51/x
  3. Step 3: Cross multiply
    97,974.71x = 146,953.49 × 69,393.51
  4. Step 4: Simplify right side
    97,974.71x = 10,197,618,521.22
  5. Step 5: Solve for x
    x = 10,197,618,521.22/97,974.71
  6. Step 6: Final answer
    x = 104,084.19

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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.