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Finding the Fourth Proportional to 292,824, 404,097.12 and 158,688

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Solution

The fourth proportional to 292,824, 404,097.12 and 158,688 is: 218,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,824 : 404,097.12 = 158,688 : x
  2. Step 2: Convert to fraction form
    292,824/404,097.12 = 158,688/x
  3. Step 3: Cross multiply
    292,824x = 404,097.12 × 158,688
  4. Step 4: Simplify right side
    292,824x = 64,125,363,778.56
  5. Step 5: Solve for x
    x = 64,125,363,778.56/292,824
  6. Step 6: Final answer
    x = 218,989.44

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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.