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Finding the Fourth Proportional to 211,453, 291,778.32 and 115,934.56

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Solution

The fourth proportional to 211,453, 291,778.32 and 115,934.56 is: 159,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,453 : 291,778.32 = 115,934.56 : x
  2. Step 2: Convert to fraction form
    211,453/291,778.32 = 115,934.56/x
  3. Step 3: Cross multiply
    211,453x = 291,778.32 × 115,934.56
  4. Step 4: Simplify right side
    211,453x = 33,827,191,146.74
  5. Step 5: Solve for x
    x = 33,827,191,146.74/211,453
  6. Step 6: Final answer
    x = 159,974.99

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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.