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Finding the Fourth Proportional to 180,686.44, 270,980.70 and 75,483.40

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Solution

The fourth proportional to 180,686.44, 270,980.70 and 75,483.40 is: 113,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,686.44 : 270,980.70 = 75,483.40 : x
  2. Step 2: Convert to fraction form
    180,686.44/270,980.70 = 75,483.40/x
  3. Step 3: Cross multiply
    180,686.44x = 270,980.70 × 75,483.40
  4. Step 4: Simplify right side
    180,686.44x = 20,454,544,570.38
  5. Step 5: Solve for x
    x = 20,454,544,570.38/180,686.44
  6. Step 6: Final answer
    x = 113,204.65

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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.