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Finding the Fourth Proportional to 260,185.20, 390,277.80 and 102,361.20

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Solution

The fourth proportional to 260,185.20, 390,277.80 and 102,361.20 is: 153,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,185.20 : 390,277.80 = 102,361.20 : x
  2. Step 2: Convert to fraction form
    260,185.20/390,277.80 = 102,361.20/x
  3. Step 3: Cross multiply
    260,185.20x = 390,277.80 × 102,361.20
  4. Step 4: Simplify right side
    260,185.20x = 39,949,303,941.36
  5. Step 5: Solve for x
    x = 39,949,303,941.36/260,185.20
  6. Step 6: Final answer
    x = 153,541.80

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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.