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Finding the Fourth Proportional to 196,122.40, 293,876.40 and 169,703.20

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Solution

The fourth proportional to 196,122.40, 293,876.40 and 169,703.20 is: 254,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,122.40 : 293,876.40 = 169,703.20 : x
  2. Step 2: Convert to fraction form
    196,122.40/293,876.40 = 169,703.20/x
  3. Step 3: Cross multiply
    196,122.40x = 293,876.40 × 169,703.20
  4. Step 4: Simplify right side
    196,122.40x = 49,871,765,484.48
  5. Step 5: Solve for x
    x = 49,871,765,484.48/196,122.40
  6. Step 6: Final answer
    x = 254,288.98

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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.