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Finding the Fourth Proportional to 142,396.27, 213,205.32 and 102,455.17

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Solution

The fourth proportional to 142,396.27, 213,205.32 and 102,455.17 is: 153,402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,396.27 : 213,205.32 = 102,455.17 : x
  2. Step 2: Convert to fraction form
    142,396.27/213,205.32 = 102,455.17/x
  3. Step 3: Cross multiply
    142,396.27x = 213,205.32 × 102,455.17
  4. Step 4: Simplify right side
    142,396.27x = 21,843,987,305.50
  5. Step 5: Solve for x
    x = 21,843,987,305.50/142,396.27
  6. Step 6: Final answer
    x = 153,402.81

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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.