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Finding the Fourth Proportional to 156,739.36, 216,294.36 and 85,117.84

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Solution

The fourth proportional to 156,739.36, 216,294.36 and 85,117.84 is: 117,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,739.36 : 216,294.36 = 85,117.84 : x
  2. Step 2: Convert to fraction form
    156,739.36/216,294.36 = 85,117.84/x
  3. Step 3: Cross multiply
    156,739.36x = 216,294.36 × 85,117.84
  4. Step 4: Simplify right side
    156,739.36x = 18,410,508,727.38
  5. Step 5: Solve for x
    x = 18,410,508,727.38/156,739.36
  6. Step 6: Final answer
    x = 117,459.38

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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.