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Finding the Fourth Proportional to 142,087.88, 213,225.94 and 78,090.71

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Solution

The fourth proportional to 142,087.88, 213,225.94 and 78,090.71 is: 117,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,087.88 : 213,225.94 = 78,090.71 : x
  2. Step 2: Convert to fraction form
    142,087.88/213,225.94 = 78,090.71/x
  3. Step 3: Cross multiply
    142,087.88x = 213,225.94 × 78,090.71
  4. Step 4: Simplify right side
    142,087.88x = 16,650,965,045.02
  5. Step 5: Solve for x
    x = 16,650,965,045.02/142,087.88
  6. Step 6: Final answer
    x = 117,187.79

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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.