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Finding the Fourth Proportional to 142,086.88, 213,224.44 and 78,089.71

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Solution

The fourth proportional to 142,086.88, 213,224.44 and 78,089.71 is: 117,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086.88 : 213,224.44 = 78,089.71 : x
  2. Step 2: Convert to fraction form
    142,086.88/213,224.44 = 78,089.71/x
  3. Step 3: Cross multiply
    142,086.88x = 213,224.44 × 78,089.71
  4. Step 4: Simplify right side
    142,086.88x = 16,650,634,684.51
  5. Step 5: Solve for x
    x = 16,650,634,684.51/142,086.88
  6. Step 6: Final answer
    x = 117,186.29

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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.