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Finding the Fourth Proportional to 130,002.10, 194,675.10 and 103,758.10

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Solution

The fourth proportional to 130,002.10, 194,675.10 and 103,758.10 is: 155,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,002.10 : 194,675.10 = 103,758.10 : x
  2. Step 2: Convert to fraction form
    130,002.10/194,675.10 = 103,758.10/x
  3. Step 3: Cross multiply
    130,002.10x = 194,675.10 × 103,758.10
  4. Step 4: Simplify right side
    130,002.10x = 20,199,118,493.31
  5. Step 5: Solve for x
    x = 20,199,118,493.31/130,002.10
  6. Step 6: Final answer
    x = 155,375.32

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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.