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Finding the Fourth Proportional to 422,129.16, 633,023.64 and 152,180.46

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Solution

The fourth proportional to 422,129.16, 633,023.64 and 152,180.46 is: 228,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,129.16 : 633,023.64 = 152,180.46 : x
  2. Step 2: Convert to fraction form
    422,129.16/633,023.64 = 152,180.46/x
  3. Step 3: Cross multiply
    422,129.16x = 633,023.64 × 152,180.46
  4. Step 4: Simplify right side
    422,129.16x = 96,333,828,726.07
  5. Step 5: Solve for x
    x = 96,333,828,726.07/422,129.16
  6. Step 6: Final answer
    x = 228,209.37

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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.