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Finding the Fourth Proportional to 292,253.86, 403,321.80 and 164,933.92

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Solution

The fourth proportional to 292,253.86, 403,321.80 and 164,933.92 is: 227,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,253.86 : 403,321.80 = 164,933.92 : x
  2. Step 2: Convert to fraction form
    292,253.86/403,321.80 = 164,933.92/x
  3. Step 3: Cross multiply
    292,253.86x = 403,321.80 × 164,933.92
  4. Step 4: Simplify right side
    292,253.86x = 66,521,445,495.46
  5. Step 5: Solve for x
    x = 66,521,445,495.46/292,253.86
  6. Step 6: Final answer
    x = 227,615.28

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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.