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Finding the Fourth Proportional to 102,412.49, 153,626.94 and 78,431.36

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Solution

The fourth proportional to 102,412.49, 153,626.94 and 78,431.36 is: 117,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,412.49 : 153,626.94 = 78,431.36 : x
  2. Step 2: Convert to fraction form
    102,412.49/153,626.94 = 78,431.36/x
  3. Step 3: Cross multiply
    102,412.49x = 153,626.94 × 78,431.36
  4. Step 4: Simplify right side
    102,412.49x = 12,049,169,350.69
  5. Step 5: Solve for x
    x = 12,049,169,350.69/102,412.49
  6. Step 6: Final answer
    x = 117,653.32

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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.