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Finding the Fourth Proportional to 273,442.85, 410,308.28 and 140,323.11

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Solution

The fourth proportional to 273,442.85, 410,308.28 and 140,323.11 is: 210,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,442.85 : 410,308.28 = 140,323.11 : x
  2. Step 2: Convert to fraction form
    273,442.85/410,308.28 = 140,323.11/x
  3. Step 3: Cross multiply
    273,442.85x = 410,308.28 × 140,323.11
  4. Step 4: Simplify right side
    273,442.85x = 57,575,734,259.16
  5. Step 5: Solve for x
    x = 57,575,734,259.16/273,442.85
  6. Step 6: Final answer
    x = 210,558.57

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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.