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Finding the Fourth Proportional to 211,195.98, 291,448.02 and 114,398.01

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Solution

The fourth proportional to 211,195.98, 291,448.02 and 114,398.01 is: 157,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,195.98 : 291,448.02 = 114,398.01 : x
  2. Step 2: Convert to fraction form
    211,195.98/291,448.02 = 114,398.01/x
  3. Step 3: Cross multiply
    211,195.98x = 291,448.02 × 114,398.01
  4. Step 4: Simplify right side
    211,195.98x = 33,341,073,935.43
  5. Step 5: Solve for x
    x = 33,341,073,935.43/211,195.98
  6. Step 6: Final answer
    x = 157,867.94

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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.