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Finding the Fourth Proportional to 219,782.54, 329,655.58 and 70,016.78

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Solution

The fourth proportional to 219,782.54, 329,655.58 and 70,016.78 is: 105,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,782.54 : 329,655.58 = 70,016.78 : x
  2. Step 2: Convert to fraction form
    219,782.54/329,655.58 = 70,016.78/x
  3. Step 3: Cross multiply
    219,782.54x = 329,655.58 × 70,016.78
  4. Step 4: Simplify right side
    219,782.54x = 23,081,422,220.63
  5. Step 5: Solve for x
    x = 23,081,422,220.63/219,782.54
  6. Step 6: Final answer
    x = 105,019.36

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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.