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Finding the Fourth Proportional to 344,196.51, 516,427.16 and 166,689.87

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Solution

The fourth proportional to 344,196.51, 516,427.16 and 166,689.87 is: 250,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,196.51 : 516,427.16 = 166,689.87 : x
  2. Step 2: Convert to fraction form
    344,196.51/516,427.16 = 166,689.87/x
  3. Step 3: Cross multiply
    344,196.51x = 516,427.16 × 166,689.87
  4. Step 4: Simplify right side
    344,196.51x = 86,083,175,331.42
  5. Step 5: Solve for x
    x = 86,083,175,331.42/344,196.51
  6. Step 6: Final answer
    x = 250,098.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.