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Finding the Fourth Proportional to 296,237.31, 408,807.77 and 162,101.31

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Solution

The fourth proportional to 296,237.31, 408,807.77 and 162,101.31 is: 223,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,237.31 : 408,807.77 = 162,101.31 : x
  2. Step 2: Convert to fraction form
    296,237.31/408,807.77 = 162,101.31/x
  3. Step 3: Cross multiply
    296,237.31x = 408,807.77 × 162,101.31
  4. Step 4: Simplify right side
    296,237.31x = 66,268,275,055.18
  5. Step 5: Solve for x
    x = 66,268,275,055.18/296,237.31
  6. Step 6: Final answer
    x = 223,699.96

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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.