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Finding the Fourth Proportional to 142,735.60, 214,103.40 and 72,751.60

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Solution

The fourth proportional to 142,735.60, 214,103.40 and 72,751.60 is: 109,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,735.60 : 214,103.40 = 72,751.60 : x
  2. Step 2: Convert to fraction form
    142,735.60/214,103.40 = 72,751.60/x
  3. Step 3: Cross multiply
    142,735.60x = 214,103.40 × 72,751.60
  4. Step 4: Simplify right side
    142,735.60x = 15,576,364,915.44
  5. Step 5: Solve for x
    x = 15,576,364,915.44/142,735.60
  6. Step 6: Final answer
    x = 109,127.40

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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.