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Finding the Fourth Proportional to 199,759.68, 299,298.42 and 109,877.58

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Solution

The fourth proportional to 199,759.68, 299,298.42 and 109,877.58 is: 164,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,759.68 : 299,298.42 = 109,877.58 : x
  2. Step 2: Convert to fraction form
    199,759.68/299,298.42 = 109,877.58/x
  3. Step 3: Cross multiply
    199,759.68x = 299,298.42 × 109,877.58
  4. Step 4: Simplify right side
    199,759.68x = 32,886,186,087.42
  5. Step 5: Solve for x
    x = 32,886,186,087.42/199,759.68
  6. Step 6: Final answer
    x = 164,628.75

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1.5x scale

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.