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Finding the Fourth Proportional to 119,491.68, 164,892.81 and 65,775.57

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Solution

The fourth proportional to 119,491.68, 164,892.81 and 65,775.57 is: 90,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,491.68 : 164,892.81 = 65,775.57 : x
  2. Step 2: Convert to fraction form
    119,491.68/164,892.81 = 65,775.57/x
  3. Step 3: Cross multiply
    119,491.68x = 164,892.81 × 65,775.57
  4. Step 4: Simplify right side
    119,491.68x = 10,845,918,566.65
  5. Step 5: Solve for x
    x = 10,845,918,566.65/119,491.68
  6. Step 6: Final answer
    x = 90,767.14

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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.