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Finding the Fourth Proportional to 302,143.70, 416,925.60 and 174,795.50

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Solution

The fourth proportional to 302,143.70, 416,925.60 and 174,795.50 is: 241,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,143.70 : 416,925.60 = 174,795.50 : x
  2. Step 2: Convert to fraction form
    302,143.70/416,925.60 = 174,795.50/x
  3. Step 3: Cross multiply
    302,143.70x = 416,925.60 × 174,795.50
  4. Step 4: Simplify right side
    302,143.70x = 72,876,718,714.80
  5. Step 5: Solve for x
    x = 72,876,718,714.80/302,143.70
  6. Step 6: Final answer
    x = 241,198.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.