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Finding the Fourth Proportional to 222,810.71, 307,476.68 and 120,838.41

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Solution

The fourth proportional to 222,810.71, 307,476.68 and 120,838.41 is: 166,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,810.71 : 307,476.68 = 120,838.41 : x
  2. Step 2: Convert to fraction form
    222,810.71/307,476.68 = 120,838.41/x
  3. Step 3: Cross multiply
    222,810.71x = 307,476.68 × 120,838.41
  4. Step 4: Simplify right side
    222,810.71x = 37,154,992,519.09
  5. Step 5: Solve for x
    x = 37,154,992,519.09/222,810.71
  6. Step 6: Final answer
    x = 166,755.87

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1.5x scale

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.