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Finding the Fourth Proportional to 302,700.72, 417,711.56 and 166,731.74

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Solution

The fourth proportional to 302,700.72, 417,711.56 and 166,731.74 is: 230,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,700.72 : 417,711.56 = 166,731.74 : x
  2. Step 2: Convert to fraction form
    302,700.72/417,711.56 = 166,731.74/x
  3. Step 3: Cross multiply
    302,700.72x = 417,711.56 × 166,731.74
  4. Step 4: Simplify right side
    302,700.72x = 69,645,772,294.70
  5. Step 5: Solve for x
    x = 69,645,772,294.70/302,700.72
  6. Step 6: Final answer
    x = 230,081.29

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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.