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Finding the Fourth Proportional to 214,988.63, 322,483.68 and 65,230.16

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Solution

The fourth proportional to 214,988.63, 322,483.68 and 65,230.16 is: 97,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,988.63 : 322,483.68 = 65,230.16 : x
  2. Step 2: Convert to fraction form
    214,988.63/322,483.68 = 65,230.16/x
  3. Step 3: Cross multiply
    214,988.63x = 322,483.68 × 65,230.16
  4. Step 4: Simplify right side
    214,988.63x = 21,035,660,431.37
  5. Step 5: Solve for x
    x = 21,035,660,431.37/214,988.63
  6. Step 6: Final answer
    x = 97,845.46

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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.