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Finding the Fourth Proportional to 211,753.64, 292,227.54 and 116,267.64

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Solution

The fourth proportional to 211,753.64, 292,227.54 and 116,267.64 is: 160,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,753.64 : 292,227.54 = 116,267.64 : x
  2. Step 2: Convert to fraction form
    211,753.64/292,227.54 = 116,267.64/x
  3. Step 3: Cross multiply
    211,753.64x = 292,227.54 × 116,267.64
  4. Step 4: Simplify right side
    211,753.64x = 33,976,606,418.81
  5. Step 5: Solve for x
    x = 33,976,606,418.81/211,753.64
  6. Step 6: Final answer
    x = 160,453.47

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1.5x scale

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.