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Finding the Fourth Proportional to 228,426.32, 342,140.48 and 94,901.76

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Solution

The fourth proportional to 228,426.32, 342,140.48 and 94,901.76 is: 142,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,426.32 : 342,140.48 = 94,901.76 : x
  2. Step 2: Convert to fraction form
    228,426.32/342,140.48 = 94,901.76/x
  3. Step 3: Cross multiply
    228,426.32x = 342,140.48 × 94,901.76
  4. Step 4: Simplify right side
    228,426.32x = 32,469,733,719.24
  5. Step 5: Solve for x
    x = 32,469,733,719.24/228,426.32
  6. Step 6: Final answer
    x = 142,145.33

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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.