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Finding the Fourth Proportional to 211,644.99, 292,077.14 and 116,156.88

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Solution

The fourth proportional to 211,644.99, 292,077.14 and 116,156.88 is: 160,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,644.99 : 292,077.14 = 116,156.88 : x
  2. Step 2: Convert to fraction form
    211,644.99/292,077.14 = 116,156.88/x
  3. Step 3: Cross multiply
    211,644.99x = 292,077.14 × 116,156.88
  4. Step 4: Simplify right side
    211,644.99x = 33,926,768,720.94
  5. Step 5: Solve for x
    x = 33,926,768,720.94/211,644.99
  6. Step 6: Final answer
    x = 160,300.36

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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.