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Finding the Fourth Proportional to 214,970.76, 322,420.14 and 65,175.24

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Solution

The fourth proportional to 214,970.76, 322,420.14 and 65,175.24 is: 97,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,970.76 : 322,420.14 = 65,175.24 : x
  2. Step 2: Convert to fraction form
    214,970.76/322,420.14 = 65,175.24/x
  3. Step 3: Cross multiply
    214,970.76x = 322,420.14 × 65,175.24
  4. Step 4: Simplify right side
    214,970.76x = 21,013,810,005.33
  5. Step 5: Solve for x
    x = 21,013,810,005.33/214,970.76
  6. Step 6: Final answer
    x = 97,751.95

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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.