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Finding the Fourth Proportional to 219,804.19, 329,450.86 and 101,226.40

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Solution

The fourth proportional to 219,804.19, 329,450.86 and 101,226.40 is: 151,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,804.19 : 329,450.86 = 101,226.40 : x
  2. Step 2: Convert to fraction form
    219,804.19/329,450.86 = 101,226.40/x
  3. Step 3: Cross multiply
    219,804.19x = 329,450.86 × 101,226.40
  4. Step 4: Simplify right side
    219,804.19x = 33,349,124,534.70
  5. Step 5: Solve for x
    x = 33,349,124,534.70/219,804.19
  6. Step 6: Final answer
    x = 151,721.97

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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.