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Finding the Fourth Proportional to 292,150, 403,167.04 and 158,014

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Solution

The fourth proportional to 292,150, 403,167.04 and 158,014 is: 218,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,150 : 403,167.04 = 158,014 : x
  2. Step 2: Convert to fraction form
    292,150/403,167.04 = 158,014/x
  3. Step 3: Cross multiply
    292,150x = 403,167.04 × 158,014
  4. Step 4: Simplify right side
    292,150x = 63,706,036,658.56
  5. Step 5: Solve for x
    x = 63,706,036,658.56/292,150
  6. Step 6: Final answer
    x = 218,059.34

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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.