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Finding the Fourth Proportional to 223,323.20, 334,869.60 and 83,009.60

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Solution

The fourth proportional to 223,323.20, 334,869.60 and 83,009.60 is: 124,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,323.20 : 334,869.60 = 83,009.60 : x
  2. Step 2: Convert to fraction form
    223,323.20/334,869.60 = 83,009.60/x
  3. Step 3: Cross multiply
    223,323.20x = 334,869.60 × 83,009.60
  4. Step 4: Simplify right side
    223,323.20x = 27,797,391,548.16
  5. Step 5: Solve for x
    x = 27,797,391,548.16/223,323.20
  6. Step 6: Final answer
    x = 124,471.58

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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.