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Finding the Fourth Proportional to 219,920.80, 329,804.40 and 114,704.80

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Solution

The fourth proportional to 219,920.80, 329,804.40 and 114,704.80 is: 172,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,920.80 : 329,804.40 = 114,704.80 : x
  2. Step 2: Convert to fraction form
    219,920.80/329,804.40 = 114,704.80/x
  3. Step 3: Cross multiply
    219,920.80x = 329,804.40 × 114,704.80
  4. Step 4: Simplify right side
    219,920.80x = 37,830,147,741.12
  5. Step 5: Solve for x
    x = 37,830,147,741.12/219,920.80
  6. Step 6: Final answer
    x = 172,017.14

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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.