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Finding the Fourth Proportional to 219,814.90, 329,716.17 and 70,064.16

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Solution

The fourth proportional to 219,814.90, 329,716.17 and 70,064.16 is: 105,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,814.90 : 329,716.17 = 70,064.16 : x
  2. Step 2: Convert to fraction form
    219,814.90/329,716.17 = 70,064.16/x
  3. Step 3: Cross multiply
    219,814.90x = 329,716.17 × 70,064.16
  4. Step 4: Simplify right side
    219,814.90x = 23,101,286,489.47
  5. Step 5: Solve for x
    x = 23,101,286,489.47/219,814.90
  6. Step 6: Final answer
    x = 105,094.27

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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.