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Finding the Fourth Proportional to 152,206.20, 228,341.70 and 47,035.80

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Solution

The fourth proportional to 152,206.20, 228,341.70 and 47,035.80 is: 70,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,206.20 : 228,341.70 = 47,035.80 : x
  2. Step 2: Convert to fraction form
    152,206.20/228,341.70 = 47,035.80/x
  3. Step 3: Cross multiply
    152,206.20x = 228,341.70 × 47,035.80
  4. Step 4: Simplify right side
    152,206.20x = 10,740,234,532.86
  5. Step 5: Solve for x
    x = 10,740,234,532.86/152,206.20
  6. Step 6: Final answer
    x = 70,563.71

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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.