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Finding the Fourth Proportional to 119,162.45, 164,447.06 and 65,448.65

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Solution

The fourth proportional to 119,162.45, 164,447.06 and 65,448.65 is: 90,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,162.45 : 164,447.06 = 65,448.65 : x
  2. Step 2: Convert to fraction form
    119,162.45/164,447.06 = 65,448.65/x
  3. Step 3: Cross multiply
    119,162.45x = 164,447.06 × 65,448.65
  4. Step 4: Simplify right side
    119,162.45x = 10,762,838,073.47
  5. Step 5: Solve for x
    x = 10,762,838,073.47/119,162.45
  6. Step 6: Final answer
    x = 90,320.72

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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.