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Finding the Fourth Proportional to 156,853.50, 216,459.02 and 85,233.91

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Solution

The fourth proportional to 156,853.50, 216,459.02 and 85,233.91 is: 117,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,853.50 : 216,459.02 = 85,233.91 : x
  2. Step 2: Convert to fraction form
    156,853.50/216,459.02 = 85,233.91/x
  3. Step 3: Cross multiply
    156,853.50x = 216,459.02 × 85,233.91
  4. Step 4: Simplify right side
    156,853.50x = 18,449,648,629.37
  5. Step 5: Solve for x
    x = 18,449,648,629.37/156,853.50
  6. Step 6: Final answer
    x = 117,623.44

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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.