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Finding the Fourth Proportional to 165,653.68, 228,595.83 and 101,230.64

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Solution

The fourth proportional to 165,653.68, 228,595.83 and 101,230.64 is: 139,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,653.68 : 228,595.83 = 101,230.64 : x
  2. Step 2: Convert to fraction form
    165,653.68/228,595.83 = 101,230.64/x
  3. Step 3: Cross multiply
    165,653.68x = 228,595.83 × 101,230.64
  4. Step 4: Simplify right side
    165,653.68x = 23,140,902,172.23
  5. Step 5: Solve for x
    x = 23,140,902,172.23/165,653.68
  6. Step 6: Final answer
    x = 139,694.46

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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.