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Finding the Fourth Proportional to 219,838.49, 329,646.85 and 156,622.49

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Solution

The fourth proportional to 219,838.49, 329,646.85 and 156,622.49 is: 234,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,838.49 : 329,646.85 = 156,622.49 : x
  2. Step 2: Convert to fraction form
    219,838.49/329,646.85 = 156,622.49/x
  3. Step 3: Cross multiply
    219,838.49x = 329,646.85 × 156,622.49
  4. Step 4: Simplify right side
    219,838.49x = 51,630,110,467.66
  5. Step 5: Solve for x
    x = 51,630,110,467.66/219,838.49
  6. Step 6: Final answer
    x = 234,854.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.