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Finding the Fourth Proportional to 292,186.56, 403,217.28 and 158,050.56

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Solution

The fourth proportional to 292,186.56, 403,217.28 and 158,050.56 is: 218,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,186.56 : 403,217.28 = 158,050.56 : x
  2. Step 2: Convert to fraction form
    292,186.56/403,217.28 = 158,050.56/x
  3. Step 3: Cross multiply
    292,186.56x = 403,217.28 × 158,050.56
  4. Step 4: Simplify right side
    292,186.56x = 63,728,716,905.68
  5. Step 5: Solve for x
    x = 63,728,716,905.68/292,186.56
  6. Step 6: Final answer
    x = 218,109.68

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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.