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Finding the Fourth Proportional to 260,145, 359,000.10 and 140,913

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Solution

The fourth proportional to 260,145, 359,000.10 and 140,913 is: 194,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,145 : 359,000.10 = 140,913 : x
  2. Step 2: Convert to fraction form
    260,145/359,000.10 = 140,913/x
  3. Step 3: Cross multiply
    260,145x = 359,000.10 × 140,913
  4. Step 4: Simplify right side
    260,145x = 50,587,781,091.30
  5. Step 5: Solve for x
    x = 50,587,781,091.30/260,145
  6. Step 6: Final answer
    x = 194,459.94

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