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Finding the Fourth Proportional to 223,907.46, 335,821.08 and 97,476.98

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Solution

The fourth proportional to 223,907.46, 335,821.08 and 97,476.98 is: 146,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,907.46 : 335,821.08 = 97,476.98 : x
  2. Step 2: Convert to fraction form
    223,907.46/335,821.08 = 97,476.98/x
  3. Step 3: Cross multiply
    223,907.46x = 335,821.08 × 97,476.98
  4. Step 4: Simplify right side
    223,907.46x = 32,734,824,698.74
  5. Step 5: Solve for x
    x = 32,734,824,698.74/223,907.46
  6. Step 6: Final answer
    x = 146,198.01

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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.