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Finding the Fourth Proportional to 135,537, 187,041.06 and 75,921

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Solution

The fourth proportional to 135,537, 187,041.06 and 75,921 is: 104,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,537 : 187,041.06 = 75,921 : x
  2. Step 2: Convert to fraction form
    135,537/187,041.06 = 75,921/x
  3. Step 3: Cross multiply
    135,537x = 187,041.06 × 75,921
  4. Step 4: Simplify right side
    135,537x = 14,200,344,316.26
  5. Step 5: Solve for x
    x = 14,200,344,316.26/135,537
  6. Step 6: Final answer
    x = 104,770.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.