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Finding the Fourth Proportional to 152,167.26, 228,206.24 and 57,329

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Solution

The fourth proportional to 152,167.26, 228,206.24 and 57,329 is: 85,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,167.26 : 228,206.24 = 57,329 : x
  2. Step 2: Convert to fraction form
    152,167.26/228,206.24 = 57,329/x
  3. Step 3: Cross multiply
    152,167.26x = 228,206.24 × 57,329
  4. Step 4: Simplify right side
    152,167.26x = 13,082,835,532.96
  5. Step 5: Solve for x
    x = 13,082,835,532.96/152,167.26
  6. Step 6: Final answer
    x = 85,976.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.