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Finding the Fourth Proportional to 119,424.83, 164,810.24 and 65,713.79

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Solution

The fourth proportional to 119,424.83, 164,810.24 and 65,713.79 is: 90,687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,424.83 : 164,810.24 = 65,713.79 : x
  2. Step 2: Convert to fraction form
    119,424.83/164,810.24 = 65,713.79/x
  3. Step 3: Cross multiply
    119,424.83x = 164,810.24 × 65,713.79
  4. Step 4: Simplify right side
    119,424.83x = 10,830,305,172.64
  5. Step 5: Solve for x
    x = 10,830,305,172.64/119,424.83
  6. Step 6: Final answer
    x = 90,687.21

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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.