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Finding the Fourth Proportional to 222,397.50, 306,896.38 and 130,504.46

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Solution

The fourth proportional to 222,397.50, 306,896.38 and 130,504.46 is: 180,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,397.50 : 306,896.38 = 130,504.46 : x
  2. Step 2: Convert to fraction form
    222,397.50/306,896.38 = 130,504.46/x
  3. Step 3: Cross multiply
    222,397.50x = 306,896.38 × 130,504.46
  4. Step 4: Simplify right side
    222,397.50x = 40,051,346,347.85
  5. Step 5: Solve for x
    x = 40,051,346,347.85/222,397.50
  6. Step 6: Final answer
    x = 180,089.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.