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Finding the Fourth Proportional to 152,251.50, 228,320.94 and 52,384.16

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Solution

The fourth proportional to 152,251.50, 228,320.94 and 52,384.16 is: 78,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,251.50 : 228,320.94 = 52,384.16 : x
  2. Step 2: Convert to fraction form
    152,251.50/228,320.94 = 52,384.16/x
  3. Step 3: Cross multiply
    152,251.50x = 228,320.94 × 52,384.16
  4. Step 4: Simplify right side
    152,251.50x = 11,960,400,652.31
  5. Step 5: Solve for x
    x = 11,960,400,652.31/152,251.50
  6. Step 6: Final answer
    x = 78,556.87

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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.