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Finding the Fourth Proportional to 165,888, 228,925.44 and 106,272

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Solution

The fourth proportional to 165,888, 228,925.44 and 106,272 is: 146,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,888 : 228,925.44 = 106,272 : x
  2. Step 2: Convert to fraction form
    165,888/228,925.44 = 106,272/x
  3. Step 3: Cross multiply
    165,888x = 228,925.44 × 106,272
  4. Step 4: Simplify right side
    165,888x = 24,328,364,359.68
  5. Step 5: Solve for x
    x = 24,328,364,359.68/165,888
  6. Step 6: Final answer
    x = 146,655.36

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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.