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Finding the Fourth Proportional to 142,142.43, 213,029.26 and 57,804.42

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Solution

The fourth proportional to 142,142.43, 213,029.26 and 57,804.42 is: 86,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,142.43 : 213,029.26 = 57,804.42 : x
  2. Step 2: Convert to fraction form
    142,142.43/213,029.26 = 57,804.42/x
  3. Step 3: Cross multiply
    142,142.43x = 213,029.26 × 57,804.42
  4. Step 4: Simplify right side
    142,142.43x = 12,314,032,598.54
  5. Step 5: Solve for x
    x = 12,314,032,598.54/142,142.43
  6. Step 6: Final answer
    x = 86,631.65

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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.