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Finding the Fourth Proportional to 152,455.80, 228,942.90 and 113,057.40

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Solution

The fourth proportional to 152,455.80, 228,942.90 and 113,057.40 is: 169,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,455.80 : 228,942.90 = 113,057.40 : x
  2. Step 2: Convert to fraction form
    152,455.80/228,942.90 = 113,057.40/x
  3. Step 3: Cross multiply
    152,455.80x = 228,942.90 × 113,057.40
  4. Step 4: Simplify right side
    152,455.80x = 25,883,689,022.46
  5. Step 5: Solve for x
    x = 25,883,689,022.46/152,455.80
  6. Step 6: Final answer
    x = 169,778.32

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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.