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Finding the Fourth Proportional to 156,893.58, 216,514.59 and 85,273.77

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Solution

The fourth proportional to 156,893.58, 216,514.59 and 85,273.77 is: 117,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,893.58 : 216,514.59 = 85,273.77 : x
  2. Step 2: Convert to fraction form
    156,893.58/216,514.59 = 85,273.77/x
  3. Step 3: Cross multiply
    156,893.58x = 216,514.59 × 85,273.77
  4. Step 4: Simplify right side
    156,893.58x = 18,463,015,349.30
  5. Step 5: Solve for x
    x = 18,463,015,349.30/156,893.58
  6. Step 6: Final answer
    x = 117,678.59

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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.