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Finding the Fourth Proportional to 201,361.25, 301,384.68 and 148,039.13

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Solution

The fourth proportional to 201,361.25, 301,384.68 and 148,039.13 is: 221,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,361.25 : 301,384.68 = 148,039.13 : x
  2. Step 2: Convert to fraction form
    201,361.25/301,384.68 = 148,039.13/x
  3. Step 3: Cross multiply
    201,361.25x = 301,384.68 × 148,039.13
  4. Step 4: Simplify right side
    201,361.25x = 44,616,725,822.53
  5. Step 5: Solve for x
    x = 44,616,725,822.53/201,361.25
  6. Step 6: Final answer
    x = 221,575.53

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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.