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Finding the Fourth Proportional to 97,682.79, 146,124.54 and 73,812.90

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Solution

The fourth proportional to 97,682.79, 146,124.54 and 73,812.90 is: 110,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,682.79 : 146,124.54 = 73,812.90 : x
  2. Step 2: Convert to fraction form
    97,682.79/146,124.54 = 73,812.90/x
  3. Step 3: Cross multiply
    97,682.79x = 146,124.54 × 73,812.90
  4. Step 4: Simplify right side
    97,682.79x = 10,785,876,058.57
  5. Step 5: Solve for x
    x = 10,785,876,058.57/97,682.79
  6. Step 6: Final answer
    x = 110,417.36

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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.