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Finding the Fourth Proportional to 162,785.91, 224,676 and 98,265.77

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Solution

The fourth proportional to 162,785.91, 224,676 and 98,265.77 is: 135,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,785.91 : 224,676 = 98,265.77 : x
  2. Step 2: Convert to fraction form
    162,785.91/224,676 = 98,265.77/x
  3. Step 3: Cross multiply
    162,785.91x = 224,676 × 98,265.77
  4. Step 4: Simplify right side
    162,785.91x = 22,077,959,017.14
  5. Step 5: Solve for x
    x = 22,077,959,017.14/162,785.91
  6. Step 6: Final answer
    x = 135,625.74

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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.