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Finding the Fourth Proportional to 211,801.70, 292,288.38 and 116,310.40

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Solution

The fourth proportional to 211,801.70, 292,288.38 and 116,310.40 is: 160,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,801.70 : 292,288.38 = 116,310.40 : x
  2. Step 2: Convert to fraction form
    211,801.70/292,288.38 = 116,310.40/x
  3. Step 3: Cross multiply
    211,801.70x = 292,288.38 × 116,310.40
  4. Step 4: Simplify right side
    211,801.70x = 33,996,178,393.15
  5. Step 5: Solve for x
    x = 33,996,178,393.15/211,801.70
  6. Step 6: Final answer
    x = 160,509.47

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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.