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Finding the Fourth Proportional to 142,092.64, 213,121.95 and 110,534.23

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Solution

The fourth proportional to 142,092.64, 213,121.95 and 110,534.23 is: 165,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,092.64 : 213,121.95 = 110,534.23 : x
  2. Step 2: Convert to fraction form
    142,092.64/213,121.95 = 110,534.23/x
  3. Step 3: Cross multiply
    142,092.64x = 213,121.95 × 110,534.23
  4. Step 4: Simplify right side
    142,092.64x = 23,557,270,639.35
  5. Step 5: Solve for x
    x = 23,557,270,639.35/142,092.64
  6. Step 6: Final answer
    x = 165,788.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.