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Finding the Fourth Proportional to 156,871.51, 216,484.05 and 85,251.53

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Solution

The fourth proportional to 156,871.51, 216,484.05 and 85,251.53 is: 117,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,871.51 : 216,484.05 = 85,251.53 : x
  2. Step 2: Convert to fraction form
    156,871.51/216,484.05 = 85,251.53/x
  3. Step 3: Cross multiply
    156,871.51x = 216,484.05 × 85,251.53
  4. Step 4: Simplify right side
    156,871.51x = 18,455,595,720.37
  5. Step 5: Solve for x
    x = 18,455,595,720.37/156,871.51
  6. Step 6: Final answer
    x = 117,647.85

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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.