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Finding the Fourth Proportional to 215,065.96, 322,388.70 and 96,767.08

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Solution

The fourth proportional to 215,065.96, 322,388.70 and 96,767.08 is: 145,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,065.96 : 322,388.70 = 96,767.08 : x
  2. Step 2: Convert to fraction form
    215,065.96/322,388.70 = 96,767.08/x
  3. Step 3: Cross multiply
    215,065.96x = 322,388.70 × 96,767.08
  4. Step 4: Simplify right side
    215,065.96x = 31,196,613,124.00
  5. Step 5: Solve for x
    x = 31,196,613,124.00/215,065.96
  6. Step 6: Final answer
    x = 145,056.02

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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.