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Finding the Fourth Proportional to 233,841.78, 322,699.62 and 126,410.88

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Solution

The fourth proportional to 233,841.78, 322,699.62 and 126,410.88 is: 174,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,841.78 : 322,699.62 = 126,410.88 : x
  2. Step 2: Convert to fraction form
    233,841.78/322,699.62 = 126,410.88/x
  3. Step 3: Cross multiply
    233,841.78x = 322,699.62 × 126,410.88
  4. Step 4: Simplify right side
    233,841.78x = 40,792,742,939.87
  5. Step 5: Solve for x
    x = 40,792,742,939.87/233,841.78
  6. Step 6: Final answer
    x = 174,445.91

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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.