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Finding the Fourth Proportional to 214,989.32, 322,484.70 and 65,230.84

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Solution

The fourth proportional to 214,989.32, 322,484.70 and 65,230.84 is: 97,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,989.32 : 322,484.70 = 65,230.84 : x
  2. Step 2: Convert to fraction form
    214,989.32/322,484.70 = 65,230.84/x
  3. Step 3: Cross multiply
    214,989.32x = 322,484.70 × 65,230.84
  4. Step 4: Simplify right side
    214,989.32x = 21,035,947,868.15
  5. Step 5: Solve for x
    x = 21,035,947,868.15/214,989.32
  6. Step 6: Final answer
    x = 97,846.48

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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.