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Finding the Fourth Proportional to 219,863, 329,777.94 and 70,097.24

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Solution

The fourth proportional to 219,863, 329,777.94 and 70,097.24 is: 105,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,863 : 329,777.94 = 70,097.24 : x
  2. Step 2: Convert to fraction form
    219,863/329,777.94 = 70,097.24/x
  3. Step 3: Cross multiply
    219,863x = 329,777.94 × 70,097.24
  4. Step 4: Simplify right side
    219,863x = 23,116,523,406.89
  5. Step 5: Solve for x
    x = 23,116,523,406.89/219,863
  6. Step 6: Final answer
    x = 105,140.58

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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.