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Finding the Fourth Proportional to 232,186.40, 347,696.40 and 152,871.20

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Solution

The fourth proportional to 232,186.40, 347,696.40 and 152,871.20 is: 228,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,186.40 : 347,696.40 = 152,871.20 : x
  2. Step 2: Convert to fraction form
    232,186.40/347,696.40 = 152,871.20/x
  3. Step 3: Cross multiply
    232,186.40x = 347,696.40 × 152,871.20
  4. Step 4: Simplify right side
    232,186.40x = 53,152,765,903.68
  5. Step 5: Solve for x
    x = 53,152,765,903.68/232,186.40
  6. Step 6: Final answer
    x = 228,922.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.