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Finding the Fourth Proportional to 165,556, 228,699.60 and 147,645.28

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Solution

The fourth proportional to 165,556, 228,699.60 and 147,645.28 is: 203,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,556 : 228,699.60 = 147,645.28 : x
  2. Step 2: Convert to fraction form
    165,556/228,699.60 = 147,645.28/x
  3. Step 3: Cross multiply
    165,556x = 228,699.60 × 147,645.28
  4. Step 4: Simplify right side
    165,556x = 33,766,416,477.89
  5. Step 5: Solve for x
    x = 33,766,416,477.89/165,556
  6. Step 6: Final answer
    x = 203,957.67

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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.