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Finding the Fourth Proportional to 260,698.50, 359,763.93 and 141,466.50

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Solution

The fourth proportional to 260,698.50, 359,763.93 and 141,466.50 is: 195,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,698.50 : 359,763.93 = 141,466.50 : x
  2. Step 2: Convert to fraction form
    260,698.50/359,763.93 = 141,466.50/x
  3. Step 3: Cross multiply
    260,698.50x = 359,763.93 × 141,466.50
  4. Step 4: Simplify right side
    260,698.50x = 50,894,544,003.35
  5. Step 5: Solve for x
    x = 50,894,544,003.35/260,698.50
  6. Step 6: Final answer
    x = 195,223.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.