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Finding the Fourth Proportional to 292,064.82, 403,049.43 and 157,928.82

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Solution

The fourth proportional to 292,064.82, 403,049.43 and 157,928.82 is: 217,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,064.82 : 403,049.43 = 157,928.82 : x
  2. Step 2: Convert to fraction form
    292,064.82/403,049.43 = 157,928.82/x
  3. Step 3: Cross multiply
    292,064.82x = 403,049.43 × 157,928.82
  4. Step 4: Simplify right side
    292,064.82x = 63,653,120,881.57
  5. Step 5: Solve for x
    x = 63,653,120,881.57/292,064.82
  6. Step 6: Final answer
    x = 217,941.76

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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.