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Finding the Fourth Proportional to 229,773.84, 344,211.48 and 150,646.56

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Solution

The fourth proportional to 229,773.84, 344,211.48 and 150,646.56 is: 225,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,773.84 : 344,211.48 = 150,646.56 : x
  2. Step 2: Convert to fraction form
    229,773.84/344,211.48 = 150,646.56/x
  3. Step 3: Cross multiply
    229,773.84x = 344,211.48 × 150,646.56
  4. Step 4: Simplify right side
    229,773.84x = 51,854,275,374.51
  5. Step 5: Solve for x
    x = 51,854,275,374.51/229,773.84
  6. Step 6: Final answer
    x = 225,675.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.