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Finding the Fourth Proportional to 214,896.39, 322,408.98 and 86,746.70

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Solution

The fourth proportional to 214,896.39, 322,408.98 and 86,746.70 is: 130,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,896.39 : 322,408.98 = 86,746.70 : x
  2. Step 2: Convert to fraction form
    214,896.39/322,408.98 = 86,746.70/x
  3. Step 3: Cross multiply
    214,896.39x = 322,408.98 × 86,746.70
  4. Step 4: Simplify right side
    214,896.39x = 27,967,913,453.32
  5. Step 5: Solve for x
    x = 27,967,913,453.32/214,896.39
  6. Step 6: Final answer
    x = 130,146.04

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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.