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Finding the Fourth Proportional to 142,141.86, 213,211.74 and 57,882.22

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Solution

The fourth proportional to 142,141.86, 213,211.74 and 57,882.22 is: 86,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,141.86 : 213,211.74 = 57,882.22 : x
  2. Step 2: Convert to fraction form
    142,141.86/213,211.74 = 57,882.22/x
  3. Step 3: Cross multiply
    142,141.86x = 213,211.74 × 57,882.22
  4. Step 4: Simplify right side
    142,141.86x = 12,341,168,525.29
  5. Step 5: Solve for x
    x = 12,341,168,525.29/142,141.86
  6. Step 6: Final answer
    x = 86,822.90

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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.