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Finding the Fourth Proportional to 180,365.16, 270,581.76 and 55,677

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Solution

The fourth proportional to 180,365.16, 270,581.76 and 55,677 is: 83,526.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,365.16 : 270,581.76 = 55,677 : x
  2. Step 2: Convert to fraction form
    180,365.16/270,581.76 = 55,677/x
  3. Step 3: Cross multiply
    180,365.16x = 270,581.76 × 55,677
  4. Step 4: Simplify right side
    180,365.16x = 15,065,180,651.52
  5. Step 5: Solve for x
    x = 15,065,180,651.52/180,365.16
  6. Step 6: Final answer
    x = 83,526.00

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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.