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Finding the Fourth Proportional to 156,967.56, 216,617.94 and 85,348.07

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Solution

The fourth proportional to 156,967.56, 216,617.94 and 85,348.07 is: 117,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,967.56 : 216,617.94 = 85,348.07 : x
  2. Step 2: Convert to fraction form
    156,967.56/216,617.94 = 85,348.07/x
  3. Step 3: Cross multiply
    156,967.56x = 216,617.94 × 85,348.07
  4. Step 4: Simplify right side
    156,967.56x = 18,487,922,023.29
  5. Step 5: Solve for x
    x = 18,487,922,023.29/156,967.56
  6. Step 6: Final answer
    x = 117,781.80

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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.