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Finding the Fourth Proportional to 201,622.70, 302,434.05 and 141,488.30

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Solution

The fourth proportional to 201,622.70, 302,434.05 and 141,488.30 is: 212,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,622.70 : 302,434.05 = 141,488.30 : x
  2. Step 2: Convert to fraction form
    201,622.70/302,434.05 = 141,488.30/x
  3. Step 3: Cross multiply
    201,622.70x = 302,434.05 × 141,488.30
  4. Step 4: Simplify right side
    201,622.70x = 42,790,879,596.62
  5. Step 5: Solve for x
    x = 42,790,879,596.62/201,622.70
  6. Step 6: Final answer
    x = 212,232.45

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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.