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Finding the Fourth Proportional to 302,957.29, 454,447.48 and 113,397.70

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Solution

The fourth proportional to 302,957.29, 454,447.48 and 113,397.70 is: 170,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,957.29 : 454,447.48 = 113,397.70 : x
  2. Step 2: Convert to fraction form
    302,957.29/454,447.48 = 113,397.70/x
  3. Step 3: Cross multiply
    302,957.29x = 454,447.48 × 113,397.70
  4. Step 4: Simplify right side
    302,957.29x = 51,533,296,891.36
  5. Step 5: Solve for x
    x = 51,533,296,891.36/302,957.29
  6. Step 6: Final answer
    x = 170,100.87

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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.