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Finding the Fourth Proportional to 292,505.52, 403,657.64 and 165,189.31

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Solution

The fourth proportional to 292,505.52, 403,657.64 and 165,189.31 is: 227,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,505.52 : 403,657.64 = 165,189.31 : x
  2. Step 2: Convert to fraction form
    292,505.52/403,657.64 = 165,189.31/x
  3. Step 3: Cross multiply
    292,505.52x = 403,657.64 × 165,189.31
  4. Step 4: Simplify right side
    292,505.52x = 66,679,927,027.83
  5. Step 5: Solve for x
    x = 66,679,927,027.83/292,505.52
  6. Step 6: Final answer
    x = 227,961.26

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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.