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Finding the Fourth Proportional to 116,099.04, 160,121.52 and 77,864.88

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Solution

The fourth proportional to 116,099.04, 160,121.52 and 77,864.88 is: 107,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,099.04 : 160,121.52 = 77,864.88 : x
  2. Step 2: Convert to fraction form
    116,099.04/160,121.52 = 77,864.88/x
  3. Step 3: Cross multiply
    116,099.04x = 160,121.52 × 77,864.88
  4. Step 4: Simplify right side
    116,099.04x = 12,467,842,940.22
  5. Step 5: Solve for x
    x = 12,467,842,940.22/116,099.04
  6. Step 6: Final answer
    x = 107,389.72

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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.