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Finding the Fourth Proportional to 119,357.63, 164,717.66 and 65,646.71

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Solution

The fourth proportional to 119,357.63, 164,717.66 and 65,646.71 is: 90,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,357.63 : 164,717.66 = 65,646.71 : x
  2. Step 2: Convert to fraction form
    119,357.63/164,717.66 = 65,646.71/x
  3. Step 3: Cross multiply
    119,357.63x = 164,717.66 × 65,646.71
  4. Step 4: Simplify right side
    119,357.63x = 10,813,172,457.90
  5. Step 5: Solve for x
    x = 10,813,172,457.90/119,357.63
  6. Step 6: Final answer
    x = 90,594.73

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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.