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Finding the Fourth Proportional to 201,154.48, 301,272.40 and 96,047.28

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Solution

The fourth proportional to 201,154.48, 301,272.40 and 96,047.28 is: 143,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,154.48 : 301,272.40 = 96,047.28 : x
  2. Step 2: Convert to fraction form
    201,154.48/301,272.40 = 96,047.28/x
  3. Step 3: Cross multiply
    201,154.48x = 301,272.40 × 96,047.28
  4. Step 4: Simplify right side
    201,154.48x = 28,936,394,559.07
  5. Step 5: Solve for x
    x = 28,936,394,559.07/201,154.48
  6. Step 6: Final answer
    x = 143,851.60

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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.