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Finding the Fourth Proportional to 119,293.86, 164,628.70 and 64,849.71

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Solution

The fourth proportional to 119,293.86, 164,628.70 and 64,849.71 is: 89,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,293.86 : 164,628.70 = 64,849.71 : x
  2. Step 2: Convert to fraction form
    119,293.86/164,628.70 = 64,849.71/x
  3. Step 3: Cross multiply
    119,293.86x = 164,628.70 × 64,849.71
  4. Step 4: Simplify right side
    119,293.86x = 10,676,123,452.68
  5. Step 5: Solve for x
    x = 10,676,123,452.68/119,293.86
  6. Step 6: Final answer
    x = 89,494.32

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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.