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Finding the Fourth Proportional to 130,103.64, 195,221.04 and 51,274.44

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Solution

The fourth proportional to 130,103.64, 195,221.04 and 51,274.44 is: 76,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,103.64 : 195,221.04 = 51,274.44 : x
  2. Step 2: Convert to fraction form
    130,103.64/195,221.04 = 51,274.44/x
  3. Step 3: Cross multiply
    130,103.64x = 195,221.04 × 51,274.44
  4. Step 4: Simplify right side
    130,103.64x = 10,009,849,502.22
  5. Step 5: Solve for x
    x = 10,009,849,502.22/130,103.64
  6. Step 6: Final answer
    x = 76,937.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.