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Finding the Fourth Proportional to 303,140.10, 418,343.42 and 165,326.52

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Solution

The fourth proportional to 303,140.10, 418,343.42 and 165,326.52 is: 228,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,140.10 : 418,343.42 = 165,326.52 : x
  2. Step 2: Convert to fraction form
    303,140.10/418,343.42 = 165,326.52/x
  3. Step 3: Cross multiply
    303,140.10x = 418,343.42 × 165,326.52
  4. Step 4: Simplify right side
    303,140.10x = 69,163,261,793.50
  5. Step 5: Solve for x
    x = 69,163,261,793.50/303,140.10
  6. Step 6: Final answer
    x = 228,156.10

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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.