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Finding the Fourth Proportional to 262,288.79, 361,925.98 and 165,455.95

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Solution

The fourth proportional to 262,288.79, 361,925.98 and 165,455.95 is: 228,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,288.79 : 361,925.98 = 165,455.95 : x
  2. Step 2: Convert to fraction form
    262,288.79/361,925.98 = 165,455.95/x
  3. Step 3: Cross multiply
    262,288.79x = 361,925.98 × 165,455.95
  4. Step 4: Simplify right side
    262,288.79x = 59,882,806,023.30
  5. Step 5: Solve for x
    x = 59,882,806,023.30/262,288.79
  6. Step 6: Final answer
    x = 228,308.67

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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.