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Finding the Fourth Proportional to 257,035.80, 385,611.30 and 99,250.20

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Solution

The fourth proportional to 257,035.80, 385,611.30 and 99,250.20 is: 148,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,035.80 : 385,611.30 = 99,250.20 : x
  2. Step 2: Convert to fraction form
    257,035.80/385,611.30 = 99,250.20/x
  3. Step 3: Cross multiply
    257,035.80x = 385,611.30 × 99,250.20
  4. Step 4: Simplify right side
    257,035.80x = 38,271,998,647.26
  5. Step 5: Solve for x
    x = 38,271,998,647.26/257,035.80
  6. Step 6: Final answer
    x = 148,897.54

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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.