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Finding the Fourth Proportional to 219,775.14, 329,659.25 and 70,014.15

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Solution

The fourth proportional to 219,775.14, 329,659.25 and 70,014.15 is: 105,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,775.14 : 329,659.25 = 70,014.15 : x
  2. Step 2: Convert to fraction form
    219,775.14/329,659.25 = 70,014.15/x
  3. Step 3: Cross multiply
    219,775.14x = 329,659.25 × 70,014.15
  4. Step 4: Simplify right side
    219,775.14x = 23,080,811,828.32
  5. Step 5: Solve for x
    x = 23,080,811,828.32/219,775.14
  6. Step 6: Final answer
    x = 105,020.12

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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.