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Finding the Fourth Proportional to 180,102.96, 270,069.62 and 105,244.74

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Solution

The fourth proportional to 180,102.96, 270,069.62 and 105,244.74 is: 157,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,102.96 : 270,069.62 = 105,244.74 : x
  2. Step 2: Convert to fraction form
    180,102.96/270,069.62 = 105,244.74/x
  3. Step 3: Cross multiply
    180,102.96x = 270,069.62 × 105,244.74
  4. Step 4: Simplify right side
    180,102.96x = 28,423,406,938.80
  5. Step 5: Solve for x
    x = 28,423,406,938.80/180,102.96
  6. Step 6: Final answer
    x = 157,817.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.