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Finding the Fourth Proportional to 422,135.16, 633,032.64 and 152,186.46

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Solution

The fourth proportional to 422,135.16, 633,032.64 and 152,186.46 is: 228,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,135.16 : 633,032.64 = 152,186.46 : x
  2. Step 2: Convert to fraction form
    422,135.16/633,032.64 = 152,186.46/x
  3. Step 3: Cross multiply
    422,135.16x = 633,032.64 × 152,186.46
  4. Step 4: Simplify right side
    422,135.16x = 96,338,996,546.05
  5. Step 5: Solve for x
    x = 96,338,996,546.05/422,135.16
  6. Step 6: Final answer
    x = 228,218.37

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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.