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Finding the Fourth Proportional to 201,658.10, 302,584.35 and 142,366.10

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Solution

The fourth proportional to 201,658.10, 302,584.35 and 142,366.10 is: 213,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,658.10 : 302,584.35 = 142,366.10 : x
  2. Step 2: Convert to fraction form
    201,658.10/302,584.35 = 142,366.10/x
  3. Step 3: Cross multiply
    201,658.10x = 302,584.35 × 142,366.10
  4. Step 4: Simplify right side
    201,658.10x = 43,077,753,830.54
  5. Step 5: Solve for x
    x = 43,077,753,830.54/201,658.10
  6. Step 6: Final answer
    x = 213,617.77

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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.