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Finding the Fourth Proportional to 100,847.60, 151,271.40 and 96,009.20

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Solution

The fourth proportional to 100,847.60, 151,271.40 and 96,009.20 is: 144,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,847.60 : 151,271.40 = 96,009.20 : x
  2. Step 2: Convert to fraction form
    100,847.60/151,271.40 = 96,009.20/x
  3. Step 3: Cross multiply
    100,847.60x = 151,271.40 × 96,009.20
  4. Step 4: Simplify right side
    100,847.60x = 14,523,446,096.88
  5. Step 5: Solve for x
    x = 14,523,446,096.88/100,847.60
  6. Step 6: Final answer
    x = 144,013.80

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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.