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Finding the Fourth Proportional to 152,049.30, 228,052.35 and 46,878.90

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Solution

The fourth proportional to 152,049.30, 228,052.35 and 46,878.90 is: 70,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,049.30 : 228,052.35 = 46,878.90 : x
  2. Step 2: Convert to fraction form
    152,049.30/228,052.35 = 46,878.90/x
  3. Step 3: Cross multiply
    152,049.30x = 228,052.35 × 46,878.90
  4. Step 4: Simplify right side
    152,049.30x = 10,690,843,310.42
  5. Step 5: Solve for x
    x = 10,690,843,310.42/152,049.30
  6. Step 6: Final answer
    x = 70,311.69

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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.