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Finding the Fourth Proportional to 223,283.52, 308,087.82 and 142,649.10

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Solution

The fourth proportional to 223,283.52, 308,087.82 and 142,649.10 is: 196,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,283.52 : 308,087.82 = 142,649.10 : x
  2. Step 2: Convert to fraction form
    223,283.52/308,087.82 = 142,649.10/x
  3. Step 3: Cross multiply
    223,283.52x = 308,087.82 × 142,649.10
  4. Step 4: Simplify right side
    223,283.52x = 43,948,450,243.96
  5. Step 5: Solve for x
    x = 43,948,450,243.96/223,283.52
  6. Step 6: Final answer
    x = 196,828.01

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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.