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Finding the Fourth Proportional to 217,574.48, 300,175.80 and 142,166.72

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Solution

The fourth proportional to 217,574.48, 300,175.80 and 142,166.72 is: 196,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,574.48 : 300,175.80 = 142,166.72 : x
  2. Step 2: Convert to fraction form
    217,574.48/300,175.80 = 142,166.72/x
  3. Step 3: Cross multiply
    217,574.48x = 300,175.80 × 142,166.72
  4. Step 4: Simplify right side
    217,574.48x = 42,675,008,909.38
  5. Step 5: Solve for x
    x = 42,675,008,909.38/217,574.48
  6. Step 6: Final answer
    x = 196,139.77

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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.