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Finding the Fourth Proportional to 253,886.40, 380,829.60 and 148,910.40

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Solution

The fourth proportional to 253,886.40, 380,829.60 and 148,910.40 is: 223,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,886.40 : 380,829.60 = 148,910.40 : x
  2. Step 2: Convert to fraction form
    253,886.40/380,829.60 = 148,910.40/x
  3. Step 3: Cross multiply
    253,886.40x = 380,829.60 × 148,910.40
  4. Step 4: Simplify right side
    253,886.40x = 56,709,488,067.84
  5. Step 5: Solve for x
    x = 56,709,488,067.84/253,886.40
  6. Step 6: Final answer
    x = 223,365.60

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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.