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Finding the Fourth Proportional to 228,284.40, 342,836.20 and 166,025.20

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Solution

The fourth proportional to 228,284.40, 342,836.20 and 166,025.20 is: 249,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,284.40 : 342,836.20 = 166,025.20 : x
  2. Step 2: Convert to fraction form
    228,284.40/342,836.20 = 166,025.20/x
  3. Step 3: Cross multiply
    228,284.40x = 342,836.20 × 166,025.20
  4. Step 4: Simplify right side
    228,284.40x = 56,919,448,672.24
  5. Step 5: Solve for x
    x = 56,919,448,672.24/228,284.40
  6. Step 6: Final answer
    x = 249,335.69

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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.