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Finding the Fourth Proportional to 262,695.60, 394,043.40 and 152,103.60

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Solution

The fourth proportional to 262,695.60, 394,043.40 and 152,103.60 is: 228,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,695.60 : 394,043.40 = 152,103.60 : x
  2. Step 2: Convert to fraction form
    262,695.60/394,043.40 = 152,103.60/x
  3. Step 3: Cross multiply
    262,695.60x = 394,043.40 × 152,103.60
  4. Step 4: Simplify right side
    262,695.60x = 59,935,419,696.24
  5. Step 5: Solve for x
    x = 59,935,419,696.24/262,695.60
  6. Step 6: Final answer
    x = 228,155.40

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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.