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Finding the Fourth Proportional to 201,641.70, 302,462.55 and 141,507.30

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Solution

The fourth proportional to 201,641.70, 302,462.55 and 141,507.30 is: 212,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,641.70 : 302,462.55 = 141,507.30 : x
  2. Step 2: Convert to fraction form
    201,641.70/302,462.55 = 141,507.30/x
  3. Step 3: Cross multiply
    201,641.70x = 302,462.55 × 141,507.30
  4. Step 4: Simplify right side
    201,641.70x = 42,800,658,801.62
  5. Step 5: Solve for x
    x = 42,800,658,801.62/201,641.70
  6. Step 6: Final answer
    x = 212,260.95

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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.