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Finding the Fourth Proportional to 119,046.65, 164,283.91 and 65,332.58

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Solution

The fourth proportional to 119,046.65, 164,283.91 and 65,332.58 is: 90,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,046.65 : 164,283.91 = 65,332.58 : x
  2. Step 2: Convert to fraction form
    119,046.65/164,283.91 = 65,332.58/x
  3. Step 3: Cross multiply
    119,046.65x = 164,283.91 × 65,332.58
  4. Step 4: Simplify right side
    119,046.65x = 10,733,090,708.04
  5. Step 5: Solve for x
    x = 10,733,090,708.04/119,046.65
  6. Step 6: Final answer
    x = 90,158.70

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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.