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Finding the Fourth Proportional to 214,961.94, 322,443.66 and 65,203.52

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Solution

The fourth proportional to 214,961.94, 322,443.66 and 65,203.52 is: 97,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,961.94 : 322,443.66 = 65,203.52 : x
  2. Step 2: Convert to fraction form
    214,961.94/322,443.66 = 65,203.52/x
  3. Step 3: Cross multiply
    214,961.94x = 322,443.66 × 65,203.52
  4. Step 4: Simplify right side
    214,961.94x = 21,024,460,021.46
  5. Step 5: Solve for x
    x = 21,024,460,021.46/214,961.94
  6. Step 6: Final answer
    x = 97,805.50

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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.