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Finding the Fourth Proportional to 152,378.16, 228,552.66 and 52,524.60

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Solution

The fourth proportional to 152,378.16, 228,552.66 and 52,524.60 is: 78,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,378.16 : 228,552.66 = 52,524.60 : x
  2. Step 2: Convert to fraction form
    152,378.16/228,552.66 = 52,524.60/x
  3. Step 3: Cross multiply
    152,378.16x = 228,552.66 × 52,524.60
  4. Step 4: Simplify right side
    152,378.16x = 12,004,637,045.44
  5. Step 5: Solve for x
    x = 12,004,637,045.44/152,378.16
  6. Step 6: Final answer
    x = 78,781.87

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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.