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Finding the Fourth Proportional to 254,859.10, 382,069.95 and 130,200.10

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Solution

The fourth proportional to 254,859.10, 382,069.95 and 130,200.10 is: 195,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,859.10 : 382,069.95 = 130,200.10 : x
  2. Step 2: Convert to fraction form
    254,859.10/382,069.95 = 130,200.10/x
  3. Step 3: Cross multiply
    254,859.10x = 382,069.95 × 130,200.10
  4. Step 4: Simplify right side
    254,859.10x = 49,745,545,697.00
  5. Step 5: Solve for x
    x = 49,745,545,697.00/254,859.10
  6. Step 6: Final answer
    x = 195,188.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.