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Finding the Fourth Proportional to 217,224.68, 299,765.14 and 126,575

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Solution

The fourth proportional to 217,224.68, 299,765.14 and 126,575 is: 174,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,224.68 : 299,765.14 = 126,575 : x
  2. Step 2: Convert to fraction form
    217,224.68/299,765.14 = 126,575/x
  3. Step 3: Cross multiply
    217,224.68x = 299,765.14 × 126,575
  4. Step 4: Simplify right side
    217,224.68x = 37,942,772,595.50
  5. Step 5: Solve for x
    x = 37,942,772,595.50/217,224.68
  6. Step 6: Final answer
    x = 174,670.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.