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Finding the Fourth Proportional to 215,273.16, 322,949.70 and 65,526.84

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Solution

The fourth proportional to 215,273.16, 322,949.70 and 65,526.84 is: 98,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,273.16 : 322,949.70 = 65,526.84 : x
  2. Step 2: Convert to fraction form
    215,273.16/322,949.70 = 65,526.84/x
  3. Step 3: Cross multiply
    215,273.16x = 322,949.70 × 65,526.84
  4. Step 4: Simplify right side
    215,273.16x = 21,161,873,319.95
  5. Step 5: Solve for x
    x = 21,161,873,319.95/215,273.16
  6. Step 6: Final answer
    x = 98,302.42

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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.