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Finding the Fourth Proportional to 231,698.70, 347,580.45 and 98,577.90

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Solution

The fourth proportional to 231,698.70, 347,580.45 and 98,577.90 is: 147,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,698.70 : 347,580.45 = 98,577.90 : x
  2. Step 2: Convert to fraction form
    231,698.70/347,580.45 = 98,577.90/x
  3. Step 3: Cross multiply
    231,698.70x = 347,580.45 × 98,577.90
  4. Step 4: Simplify right side
    231,698.70x = 34,263,750,842.06
  5. Step 5: Solve for x
    x = 34,263,750,842.06/231,698.70
  6. Step 6: Final answer
    x = 147,880.63

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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.