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Finding the Fourth Proportional to 119,458.16, 164,852.28 and 65,747

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Solution

The fourth proportional to 119,458.16, 164,852.28 and 65,747 is: 90,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,458.16 : 164,852.28 = 65,747 : x
  2. Step 2: Convert to fraction form
    119,458.16/164,852.28 = 65,747/x
  3. Step 3: Cross multiply
    119,458.16x = 164,852.28 × 65,747
  4. Step 4: Simplify right side
    119,458.16x = 10,838,542,853.16
  5. Step 5: Solve for x
    x = 10,838,542,853.16/119,458.16
  6. Step 6: Final answer
    x = 90,730.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.