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Finding the Fourth Proportional to 199,535.84, 299,358.44 and 99,575.36

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Solution

The fourth proportional to 199,535.84, 299,358.44 and 99,575.36 is: 149,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,535.84 : 299,358.44 = 99,575.36 : x
  2. Step 2: Convert to fraction form
    199,535.84/299,358.44 = 99,575.36/x
  3. Step 3: Cross multiply
    199,535.84x = 299,358.44 × 99,575.36
  4. Step 4: Simplify right side
    199,535.84x = 29,808,723,934.16
  5. Step 5: Solve for x
    x = 29,808,723,934.16/199,535.84
  6. Step 6: Final answer
    x = 149,390.32

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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.