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Finding the Fourth Proportional to 219,848.50, 329,773.02 and 53,636.50

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Solution

The fourth proportional to 219,848.50, 329,773.02 and 53,636.50 is: 80,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,848.50 : 329,773.02 = 53,636.50 : x
  2. Step 2: Convert to fraction form
    219,848.50/329,773.02 = 53,636.50/x
  3. Step 3: Cross multiply
    219,848.50x = 329,773.02 × 53,636.50
  4. Step 4: Simplify right side
    219,848.50x = 17,687,870,587.23
  5. Step 5: Solve for x
    x = 17,687,870,587.23/219,848.50
  6. Step 6: Final answer
    x = 80,454.82

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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.