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Finding the Fourth Proportional to 211,754.02, 292,221.12 and 116,266.90

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Solution

The fourth proportional to 211,754.02, 292,221.12 and 116,266.90 is: 160,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,754.02 : 292,221.12 = 116,266.90 : x
  2. Step 2: Convert to fraction form
    211,754.02/292,221.12 = 116,266.90/x
  3. Step 3: Cross multiply
    211,754.02x = 292,221.12 × 116,266.90
  4. Step 4: Simplify right side
    211,754.02x = 33,975,643,736.93
  5. Step 5: Solve for x
    x = 33,975,643,736.93/211,754.02
  6. Step 6: Final answer
    x = 160,448.64

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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.