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Finding the Fourth Proportional to 292,649.96, 403,857.38 and 158,513.64

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Solution

The fourth proportional to 292,649.96, 403,857.38 and 158,513.64 is: 218,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,649.96 : 403,857.38 = 158,513.64 : x
  2. Step 2: Convert to fraction form
    292,649.96/403,857.38 = 158,513.64/x
  3. Step 3: Cross multiply
    292,649.96x = 403,857.38 × 158,513.64
  4. Step 4: Simplify right side
    292,649.96x = 64,016,903,344.66
  5. Step 5: Solve for x
    x = 64,016,903,344.66/292,649.96
  6. Step 6: Final answer
    x = 218,749.06

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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.