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Finding the Fourth Proportional to 119,270.21, 164,594.16 and 64,822.38

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Solution

The fourth proportional to 119,270.21, 164,594.16 and 64,822.38 is: 89,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,270.21 : 164,594.16 = 64,822.38 : x
  2. Step 2: Convert to fraction form
    119,270.21/164,594.16 = 64,822.38/x
  3. Step 3: Cross multiply
    119,270.21x = 164,594.16 × 64,822.38
  4. Step 4: Simplify right side
    119,270.21x = 10,669,384,568.07
  5. Step 5: Solve for x
    x = 10,669,384,568.07/119,270.21
  6. Step 6: Final answer
    x = 89,455.57

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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.