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Finding the Fourth Proportional to 223,813.40, 335,720.10 and 83,564.60

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Solution

The fourth proportional to 223,813.40, 335,720.10 and 83,564.60 is: 125,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,813.40 : 335,720.10 = 83,564.60 : x
  2. Step 2: Convert to fraction form
    223,813.40/335,720.10 = 83,564.60/x
  3. Step 3: Cross multiply
    223,813.40x = 335,720.10 × 83,564.60
  4. Step 4: Simplify right side
    223,813.40x = 28,054,315,868.46
  5. Step 5: Solve for x
    x = 28,054,315,868.46/223,813.40
  6. Step 6: Final answer
    x = 125,346.90

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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.