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Finding the Fourth Proportional to 111,297.42, 165,953.34 and 98,933.58

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Solution

The fourth proportional to 111,297.42, 165,953.34 and 98,933.58 is: 147,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,297.42 : 165,953.34 = 98,933.58 : x
  2. Step 2: Convert to fraction form
    111,297.42/165,953.34 = 98,933.58/x
  3. Step 3: Cross multiply
    111,297.42x = 165,953.34 × 98,933.58
  4. Step 4: Simplify right side
    111,297.42x = 16,418,358,039.16
  5. Step 5: Solve for x
    x = 16,418,358,039.16/111,297.42
  6. Step 6: Final answer
    x = 147,517.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.