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Finding the Fourth Proportional to 276,038.70, 414,058.05 and 164,064.30

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Solution

The fourth proportional to 276,038.70, 414,058.05 and 164,064.30 is: 246,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,038.70 : 414,058.05 = 164,064.30 : x
  2. Step 2: Convert to fraction form
    276,038.70/414,058.05 = 164,064.30/x
  3. Step 3: Cross multiply
    276,038.70x = 414,058.05 × 164,064.30
  4. Step 4: Simplify right side
    276,038.70x = 67,932,144,132.62
  5. Step 5: Solve for x
    x = 67,932,144,132.62/276,038.70
  6. Step 6: Final answer
    x = 246,096.45

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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.