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Finding the Fourth Proportional to 109,098.50, 150,556.84 and 61,351.42

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Solution

The fourth proportional to 109,098.50, 150,556.84 and 61,351.42 is: 84,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,098.50 : 150,556.84 = 61,351.42 : x
  2. Step 2: Convert to fraction form
    109,098.50/150,556.84 = 61,351.42/x
  3. Step 3: Cross multiply
    109,098.50x = 150,556.84 × 61,351.42
  4. Step 4: Simplify right side
    109,098.50x = 9,236,875,924.71
  5. Step 5: Solve for x
    x = 9,236,875,924.71/109,098.50
  6. Step 6: Final answer
    x = 84,665.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.