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Finding the Fourth Proportional to 292,176.24, 403,203.24 and 158,040.24

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Solution

The fourth proportional to 292,176.24, 403,203.24 and 158,040.24 is: 218,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,176.24 : 403,203.24 = 158,040.24 : x
  2. Step 2: Convert to fraction form
    292,176.24/403,203.24 = 158,040.24/x
  3. Step 3: Cross multiply
    292,176.24x = 403,203.24 × 158,040.24
  4. Step 4: Simplify right side
    292,176.24x = 63,722,336,818.38
  5. Step 5: Solve for x
    x = 63,722,336,818.38/292,176.24
  6. Step 6: Final answer
    x = 218,095.55

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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.