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Finding the Fourth Proportional to 119,054.98, 164,295.74 and 65,340.13

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Solution

The fourth proportional to 119,054.98, 164,295.74 and 65,340.13 is: 90,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,054.98 : 164,295.74 = 65,340.13 : x
  2. Step 2: Convert to fraction form
    119,054.98/164,295.74 = 65,340.13/x
  3. Step 3: Cross multiply
    119,054.98x = 164,295.74 × 65,340.13
  4. Step 4: Simplify right side
    119,054.98x = 10,735,105,010.05
  5. Step 5: Solve for x
    x = 10,735,105,010.05/119,054.98
  6. Step 6: Final answer
    x = 90,169.31

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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.