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Finding the Fourth Proportional to 142,131.27, 213,193.95 and 47,368.32

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Solution

The fourth proportional to 142,131.27, 213,193.95 and 47,368.32 is: 71,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,131.27 : 213,193.95 = 47,368.32 : x
  2. Step 2: Convert to fraction form
    142,131.27/213,193.95 = 47,368.32/x
  3. Step 3: Cross multiply
    142,131.27x = 213,193.95 × 47,368.32
  4. Step 4: Simplify right side
    142,131.27x = 10,098,639,245.66
  5. Step 5: Solve for x
    x = 10,098,639,245.66/142,131.27
  6. Step 6: Final answer
    x = 71,051.50

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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.