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Finding the Fourth Proportional to 302,706.28, 417,737.55 and 166,740.81

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Solution

The fourth proportional to 302,706.28, 417,737.55 and 166,740.81 is: 230,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,706.28 : 417,737.55 = 166,740.81 : x
  2. Step 2: Convert to fraction form
    302,706.28/417,737.55 = 166,740.81/x
  3. Step 3: Cross multiply
    302,706.28x = 417,737.55 × 166,740.81
  4. Step 4: Simplify right side
    302,706.28x = 69,653,897,454.42
  5. Step 5: Solve for x
    x = 69,653,897,454.42/302,706.28
  6. Step 6: Final answer
    x = 230,103.91

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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.