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Finding the Fourth Proportional to 152,102.85, 228,193.16 and 58,583.49

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Solution

The fourth proportional to 152,102.85, 228,193.16 and 58,583.49 is: 87,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,102.85 : 228,193.16 = 58,583.49 : x
  2. Step 2: Convert to fraction form
    152,102.85/228,193.16 = 58,583.49/x
  3. Step 3: Cross multiply
    152,102.85x = 228,193.16 × 58,583.49
  4. Step 4: Simplify right side
    152,102.85x = 13,368,351,414.01
  5. Step 5: Solve for x
    x = 13,368,351,414.01/152,102.85
  6. Step 6: Final answer
    x = 87,890.21

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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.