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Finding the Fourth Proportional to 292,244.92, 403,296.30 and 158,106.04

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Solution

The fourth proportional to 292,244.92, 403,296.30 and 158,106.04 is: 218,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,244.92 : 403,296.30 = 158,106.04 : x
  2. Step 2: Convert to fraction form
    292,244.92/403,296.30 = 158,106.04/x
  3. Step 3: Cross multiply
    292,244.92x = 403,296.30 × 158,106.04
  4. Step 4: Simplify right side
    292,244.92x = 63,763,580,939.65
  5. Step 5: Solve for x
    x = 63,763,580,939.65/292,244.92
  6. Step 6: Final answer
    x = 218,185.42

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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.