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Finding the Fourth Proportional to 232,196.40, 347,711.40 and 152,881.20

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Solution

The fourth proportional to 232,196.40, 347,711.40 and 152,881.20 is: 228,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,196.40 : 347,711.40 = 152,881.20 : x
  2. Step 2: Convert to fraction form
    232,196.40/347,711.40 = 152,881.20/x
  3. Step 3: Cross multiply
    232,196.40x = 347,711.40 × 152,881.20
  4. Step 4: Simplify right side
    232,196.40x = 53,158,536,085.68
  5. Step 5: Solve for x
    x = 53,158,536,085.68/232,196.40
  6. Step 6: Final answer
    x = 228,937.81

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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.