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Finding the Fourth Proportional to 292,825.68, 404,142.78 and 185,405.68

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Solution

The fourth proportional to 292,825.68, 404,142.78 and 185,405.68 is: 255,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,825.68 : 404,142.78 = 185,405.68 : x
  2. Step 2: Convert to fraction form
    292,825.68/404,142.78 = 185,405.68/x
  3. Step 3: Cross multiply
    292,825.68x = 404,142.78 × 185,405.68
  4. Step 4: Simplify right side
    292,825.68x = 74,930,366,942.99
  5. Step 5: Solve for x
    x = 74,930,366,942.99/292,825.68
  6. Step 6: Final answer
    x = 255,887.28

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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.