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Finding the Fourth Proportional to 215,064.96, 322,387.20 and 96,766.08

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Solution

The fourth proportional to 215,064.96, 322,387.20 and 96,766.08 is: 145,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,064.96 : 322,387.20 = 96,766.08 : x
  2. Step 2: Convert to fraction form
    215,064.96/322,387.20 = 96,766.08/x
  3. Step 3: Cross multiply
    215,064.96x = 322,387.20 × 96,766.08
  4. Step 4: Simplify right side
    215,064.96x = 31,196,145,586.18
  5. Step 5: Solve for x
    x = 31,196,145,586.18/215,064.96
  6. Step 6: Final answer
    x = 145,054.52

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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.