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Finding the Fourth Proportional to 214,483.54, 321,727.71 and 64,725.25

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Solution

The fourth proportional to 214,483.54, 321,727.71 and 64,725.25 is: 97,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,483.54 : 321,727.71 = 64,725.25 : x
  2. Step 2: Convert to fraction form
    214,483.54/321,727.71 = 64,725.25/x
  3. Step 3: Cross multiply
    214,483.54x = 321,727.71 × 64,725.25
  4. Step 4: Simplify right side
    214,483.54x = 20,823,906,461.68
  5. Step 5: Solve for x
    x = 20,823,906,461.68/214,483.54
  6. Step 6: Final answer
    x = 97,088.60

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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.