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Finding the Fourth Proportional to 215,513.84, 323,319.72 and 65,767.52

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Solution

The fourth proportional to 215,513.84, 323,319.72 and 65,767.52 is: 98,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,513.84 : 323,319.72 = 65,767.52 : x
  2. Step 2: Convert to fraction form
    215,513.84/323,319.72 = 65,767.52/x
  3. Step 3: Cross multiply
    215,513.84x = 323,319.72 × 65,767.52
  4. Step 4: Simplify right side
    215,513.84x = 21,263,936,151.49
  5. Step 5: Solve for x
    x = 21,263,936,151.49/215,513.84
  6. Step 6: Final answer
    x = 98,666.22

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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.