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Finding the Fourth Proportional to 310,563.60, 465,888.60 and 133,069.20

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Solution

The fourth proportional to 310,563.60, 465,888.60 and 133,069.20 is: 199,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,563.60 : 465,888.60 = 133,069.20 : x
  2. Step 2: Convert to fraction form
    310,563.60/465,888.60 = 133,069.20/x
  3. Step 3: Cross multiply
    310,563.60x = 465,888.60 × 133,069.20
  4. Step 4: Simplify right side
    310,563.60x = 61,995,423,291.12
  5. Step 5: Solve for x
    x = 61,995,423,291.12/310,563.60
  6. Step 6: Final answer
    x = 199,622.31

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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.