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Finding the Fourth Proportional to 298,143.60, 447,733.80 and 158,175.60

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Solution

The fourth proportional to 298,143.60, 447,733.80 and 158,175.60 is: 237,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,143.60 : 447,733.80 = 158,175.60 : x
  2. Step 2: Convert to fraction form
    298,143.60/447,733.80 = 158,175.60/x
  3. Step 3: Cross multiply
    298,143.60x = 447,733.80 × 158,175.60
  4. Step 4: Simplify right side
    298,143.60x = 70,820,562,455.28
  5. Step 5: Solve for x
    x = 70,820,562,455.28/298,143.60
  6. Step 6: Final answer
    x = 237,538.43

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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.