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Finding the Fourth Proportional to 145,960.17, 201,430.70 and 82,296.60

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Solution

The fourth proportional to 145,960.17, 201,430.70 and 82,296.60 is: 113,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,960.17 : 201,430.70 = 82,296.60 : x
  2. Step 2: Convert to fraction form
    145,960.17/201,430.70 = 82,296.60/x
  3. Step 3: Cross multiply
    145,960.17x = 201,430.70 × 82,296.60
  4. Step 4: Simplify right side
    145,960.17x = 16,577,061,745.62
  5. Step 5: Solve for x
    x = 16,577,061,745.62/145,960.17
  6. Step 6: Final answer
    x = 113,572.50

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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.