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Finding the Fourth Proportional to 228,434.64, 342,775.08 and 108,463.92

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Solution

The fourth proportional to 228,434.64, 342,775.08 and 108,463.92 is: 162,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,434.64 : 342,775.08 = 108,463.92 : x
  2. Step 2: Convert to fraction form
    228,434.64/342,775.08 = 108,463.92/x
  3. Step 3: Cross multiply
    228,434.64x = 342,775.08 × 108,463.92
  4. Step 4: Simplify right side
    228,434.64x = 37,178,728,855.11
  5. Step 5: Solve for x
    x = 37,178,728,855.11/228,434.64
  6. Step 6: Final answer
    x = 162,754.34

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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.