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Finding the Fourth Proportional to 201,001.84, 301,108.56 and 116,584.60

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Solution

The fourth proportional to 201,001.84, 301,108.56 and 116,584.60 is: 174,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,001.84 : 301,108.56 = 116,584.60 : x
  2. Step 2: Convert to fraction form
    201,001.84/301,108.56 = 116,584.60/x
  3. Step 3: Cross multiply
    201,001.84x = 301,108.56 × 116,584.60
  4. Step 4: Simplify right side
    201,001.84x = 35,104,621,024.18
  5. Step 5: Solve for x
    x = 35,104,621,024.18/201,001.84
  6. Step 6: Final answer
    x = 174,648.26

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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.