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Finding the Fourth Proportional to 213,950.21, 295,184.70 and 142,342.38

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Solution

The fourth proportional to 213,950.21, 295,184.70 and 142,342.38 is: 196,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,950.21 : 295,184.70 = 142,342.38 : x
  2. Step 2: Convert to fraction form
    213,950.21/295,184.70 = 142,342.38/x
  3. Step 3: Cross multiply
    213,950.21x = 295,184.70 × 142,342.38
  4. Step 4: Simplify right side
    213,950.21x = 42,017,292,737.59
  5. Step 5: Solve for x
    x = 42,017,292,737.59/213,950.21
  6. Step 6: Final answer
    x = 196,388.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.