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Finding the Fourth Proportional to 135,985.14, 203,681.79 and 65,716.50

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Solution

The fourth proportional to 135,985.14, 203,681.79 and 65,716.50 is: 98,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,985.14 : 203,681.79 = 65,716.50 : x
  2. Step 2: Convert to fraction form
    135,985.14/203,681.79 = 65,716.50/x
  3. Step 3: Cross multiply
    135,985.14x = 203,681.79 × 65,716.50
  4. Step 4: Simplify right side
    135,985.14x = 13,385,254,352.54
  5. Step 5: Solve for x
    x = 13,385,254,352.54/135,985.14
  6. Step 6: Final answer
    x = 98,431.74

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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.