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Finding the Fourth Proportional to 260,307.32, 359,194.50 and 147,129.80

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Solution

The fourth proportional to 260,307.32, 359,194.50 and 147,129.80 is: 203,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,307.32 : 359,194.50 = 147,129.80 : x
  2. Step 2: Convert to fraction form
    260,307.32/359,194.50 = 147,129.80/x
  3. Step 3: Cross multiply
    260,307.32x = 359,194.50 × 147,129.80
  4. Step 4: Simplify right side
    260,307.32x = 52,848,214,946.10
  5. Step 5: Solve for x
    x = 52,848,214,946.10/260,307.32
  6. Step 6: Final answer
    x = 203,022.39

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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.