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Finding the Fourth Proportional to 211,963.38, 292,516.65 and 116,473.50

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Solution

The fourth proportional to 211,963.38, 292,516.65 and 116,473.50 is: 160,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,963.38 : 292,516.65 = 116,473.50 : x
  2. Step 2: Convert to fraction form
    211,963.38/292,516.65 = 116,473.50/x
  3. Step 3: Cross multiply
    211,963.38x = 292,516.65 × 116,473.50
  4. Step 4: Simplify right side
    211,963.38x = 34,070,438,033.78
  5. Step 5: Solve for x
    x = 34,070,438,033.78/211,963.38
  6. Step 6: Final answer
    x = 160,737.38

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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.