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Finding the Fourth Proportional to 106,125.76, 146,456.64 and 60,808

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Solution

The fourth proportional to 106,125.76, 146,456.64 and 60,808 is: 83,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,125.76 : 146,456.64 = 60,808 : x
  2. Step 2: Convert to fraction form
    106,125.76/146,456.64 = 60,808/x
  3. Step 3: Cross multiply
    106,125.76x = 146,456.64 × 60,808
  4. Step 4: Simplify right side
    106,125.76x = 8,905,735,365.12
  5. Step 5: Solve for x
    x = 8,905,735,365.12/106,125.76
  6. Step 6: Final answer
    x = 83,916.81

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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.