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Finding the Fourth Proportional to 119,356.19, 164,708.25 and 65,641.21

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Solution

The fourth proportional to 119,356.19, 164,708.25 and 65,641.21 is: 90,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,356.19 : 164,708.25 = 65,641.21 : x
  2. Step 2: Convert to fraction form
    119,356.19/164,708.25 = 65,641.21/x
  3. Step 3: Cross multiply
    119,356.19x = 164,708.25 × 65,641.21
  4. Step 4: Simplify right side
    119,356.19x = 10,811,648,826.98
  5. Step 5: Solve for x
    x = 10,811,648,826.98/119,356.19
  6. Step 6: Final answer
    x = 90,583.06

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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.