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Finding the Fourth Proportional to 219,814.30, 329,721.45 and 101,716.30

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Solution

The fourth proportional to 219,814.30, 329,721.45 and 101,716.30 is: 152,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,814.30 : 329,721.45 = 101,716.30 : x
  2. Step 2: Convert to fraction form
    219,814.30/329,721.45 = 101,716.30/x
  3. Step 3: Cross multiply
    219,814.30x = 329,721.45 × 101,716.30
  4. Step 4: Simplify right side
    219,814.30x = 33,538,045,924.64
  5. Step 5: Solve for x
    x = 33,538,045,924.64/219,814.30
  6. Step 6: Final answer
    x = 152,574.45

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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.