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Finding the Fourth Proportional to 242,812.44, 364,323.81 and 130,361.43

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Solution

The fourth proportional to 242,812.44, 364,323.81 and 130,361.43 is: 195,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,812.44 : 364,323.81 = 130,361.43 : x
  2. Step 2: Convert to fraction form
    242,812.44/364,323.81 = 130,361.43/x
  3. Step 3: Cross multiply
    242,812.44x = 364,323.81 × 130,361.43
  4. Step 4: Simplify right side
    242,812.44x = 47,493,772,854.65
  5. Step 5: Solve for x
    x = 47,493,772,854.65/242,812.44
  6. Step 6: Final answer
    x = 195,598.60

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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.