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Finding the Fourth Proportional to 201,943.40, 302,915.10 and 96,708.20

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Solution

The fourth proportional to 201,943.40, 302,915.10 and 96,708.20 is: 145,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,943.40 : 302,915.10 = 96,708.20 : x
  2. Step 2: Convert to fraction form
    201,943.40/302,915.10 = 96,708.20/x
  3. Step 3: Cross multiply
    201,943.40x = 302,915.10 × 96,708.20
  4. Step 4: Simplify right side
    201,943.40x = 29,294,374,073.82
  5. Step 5: Solve for x
    x = 29,294,374,073.82/201,943.40
  6. Step 6: Final answer
    x = 145,062.30

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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.