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Finding the Fourth Proportional to 106,408.32, 146,802.36 and 61,069.92

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Solution

The fourth proportional to 106,408.32, 146,802.36 and 61,069.92 is: 84,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,408.32 : 146,802.36 = 61,069.92 : x
  2. Step 2: Convert to fraction form
    106,408.32/146,802.36 = 61,069.92/x
  3. Step 3: Cross multiply
    106,408.32x = 146,802.36 × 61,069.92
  4. Step 4: Simplify right side
    106,408.32x = 8,965,208,381.01
  5. Step 5: Solve for x
    x = 8,965,208,381.01/106,408.32
  6. Step 6: Final answer
    x = 84,252.89

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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.