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Finding the Fourth Proportional to 223,346.25, 334,822.50 and 83,006.46

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Solution

The fourth proportional to 223,346.25, 334,822.50 and 83,006.46 is: 124,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,346.25 : 334,822.50 = 83,006.46 : x
  2. Step 2: Convert to fraction form
    223,346.25/334,822.50 = 83,006.46/x
  3. Step 3: Cross multiply
    223,346.25x = 334,822.50 × 83,006.46
  4. Step 4: Simplify right side
    223,346.25x = 27,792,430,453.35
  5. Step 5: Solve for x
    x = 27,792,430,453.35/223,346.25
  6. Step 6: Final answer
    x = 124,436.52

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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.