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Finding the Fourth Proportional to 215,303.40, 322,917.84 and 65,507.40

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Solution

The fourth proportional to 215,303.40, 322,917.84 and 65,507.40 is: 98,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,303.40 : 322,917.84 = 65,507.40 : x
  2. Step 2: Convert to fraction form
    215,303.40/322,917.84 = 65,507.40/x
  3. Step 3: Cross multiply
    215,303.40x = 322,917.84 × 65,507.40
  4. Step 4: Simplify right side
    215,303.40x = 21,153,508,112.02
  5. Step 5: Solve for x
    x = 21,153,508,112.02/215,303.40
  6. Step 6: Final answer
    x = 98,249.76

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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.