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Finding the Fourth Proportional to 156,834, 216,431.93 and 85,214.00

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Solution

The fourth proportional to 156,834, 216,431.93 and 85,214.00 is: 117,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,834 : 216,431.93 = 85,214.00 : x
  2. Step 2: Convert to fraction form
    156,834/216,431.93 = 85,214.00/x
  3. Step 3: Cross multiply
    156,834x = 216,431.93 × 85,214.00
  4. Step 4: Simplify right side
    156,834x = 18,443,031,237.13
  5. Step 5: Solve for x
    x = 18,443,031,237.13/156,834
  6. Step 6: Final answer
    x = 117,595.87

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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.