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Finding the Fourth Proportional to 180,319.64, 270,504.06 and 75,114

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Solution

The fourth proportional to 180,319.64, 270,504.06 and 75,114 is: 112,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,319.64 : 270,504.06 = 75,114 : x
  2. Step 2: Convert to fraction form
    180,319.64/270,504.06 = 75,114/x
  3. Step 3: Cross multiply
    180,319.64x = 270,504.06 × 75,114
  4. Step 4: Simplify right side
    180,319.64x = 20,318,641,681.16
  5. Step 5: Solve for x
    x = 20,318,641,681.16/180,319.64
  6. Step 6: Final answer
    x = 112,681.25

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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.