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Finding the Fourth Proportional to 140,593.36, 193,963.08 and 100,296.40

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Solution

The fourth proportional to 140,593.36, 193,963.08 and 100,296.40 is: 138,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,593.36 : 193,963.08 = 100,296.40 : x
  2. Step 2: Convert to fraction form
    140,593.36/193,963.08 = 100,296.40/x
  3. Step 3: Cross multiply
    140,593.36x = 193,963.08 × 100,296.40
  4. Step 4: Simplify right side
    140,593.36x = 19,453,798,656.91
  5. Step 5: Solve for x
    x = 19,453,798,656.91/140,593.36
  6. Step 6: Final answer
    x = 138,369.26

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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.