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Finding the Fourth Proportional to 119,433.36, 164,762.92 and 77,005.56

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Solution

The fourth proportional to 119,433.36, 164,762.92 and 77,005.56 is: 106,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,433.36 : 164,762.92 = 77,005.56 : x
  2. Step 2: Convert to fraction form
    119,433.36/164,762.92 = 77,005.56/x
  3. Step 3: Cross multiply
    119,433.36x = 164,762.92 × 77,005.56
  4. Step 4: Simplify right side
    119,433.36x = 12,687,660,921.84
  5. Step 5: Solve for x
    x = 12,687,660,921.84/119,433.36
  6. Step 6: Final answer
    x = 106,232.14

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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.