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Finding the Fourth Proportional to 105,404.24, 145,491.72 and 69,626

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Solution

The fourth proportional to 105,404.24, 145,491.72 and 69,626 is: 96,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,404.24 : 145,491.72 = 69,626 : x
  2. Step 2: Convert to fraction form
    105,404.24/145,491.72 = 69,626/x
  3. Step 3: Cross multiply
    105,404.24x = 145,491.72 × 69,626
  4. Step 4: Simplify right side
    105,404.24x = 10,130,006,496.72
  5. Step 5: Solve for x
    x = 10,130,006,496.72/105,404.24
  6. Step 6: Final answer
    x = 96,106.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.