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Finding the Fourth Proportional to 292,162.71, 403,176.36 and 164,850.15

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Solution

The fourth proportional to 292,162.71, 403,176.36 and 164,850.15 is: 227,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,162.71 : 403,176.36 = 164,850.15 : x
  2. Step 2: Convert to fraction form
    292,162.71/403,176.36 = 164,850.15/x
  3. Step 3: Cross multiply
    292,162.71x = 403,176.36 × 164,850.15
  4. Step 4: Simplify right side
    292,162.71x = 66,463,683,422.45
  5. Step 5: Solve for x
    x = 66,463,683,422.45/292,162.71
  6. Step 6: Final answer
    x = 227,488.59

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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.