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Finding the Fourth Proportional to 215,367.14, 323,038.94 and 65,594.90

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Solution

The fourth proportional to 215,367.14, 323,038.94 and 65,594.90 is: 98,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,367.14 : 323,038.94 = 65,594.90 : x
  2. Step 2: Convert to fraction form
    215,367.14/323,038.94 = 65,594.90/x
  3. Step 3: Cross multiply
    215,367.14x = 323,038.94 × 65,594.90
  4. Step 4: Simplify right side
    215,367.14x = 21,189,707,445.03
  5. Step 5: Solve for x
    x = 21,189,707,445.03/215,367.14
  6. Step 6: Final answer
    x = 98,388.77

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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.