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Finding the Fourth Proportional to 180,218.68, 270,287.93 and 52,106.99

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Solution

The fourth proportional to 180,218.68, 270,287.93 and 52,106.99 is: 78,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,218.68 : 270,287.93 = 52,106.99 : x
  2. Step 2: Convert to fraction form
    180,218.68/270,287.93 = 52,106.99/x
  3. Step 3: Cross multiply
    180,218.68x = 270,287.93 × 52,106.99
  4. Step 4: Simplify right side
    180,218.68x = 14,083,890,465.63
  5. Step 5: Solve for x
    x = 14,083,890,465.63/180,218.68
  6. Step 6: Final answer
    x = 78,148.89

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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.