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Finding the Fourth Proportional to 117,054.32, 161,551.87 and 76,828.10

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Solution

The fourth proportional to 117,054.32, 161,551.87 and 76,828.10 is: 106,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,054.32 : 161,551.87 = 76,828.10 : x
  2. Step 2: Convert to fraction form
    117,054.32/161,551.87 = 76,828.10/x
  3. Step 3: Cross multiply
    117,054.32x = 161,551.87 × 76,828.10
  4. Step 4: Simplify right side
    117,054.32x = 12,411,722,223.72
  5. Step 5: Solve for x
    x = 12,411,722,223.72/117,054.32
  6. Step 6: Final answer
    x = 106,033.87

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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.