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Finding the Fourth Proportional to 116,874.18, 175,466.79 and 61,509.06

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Solution

The fourth proportional to 116,874.18, 175,466.79 and 61,509.06 is: 92,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,874.18 : 175,466.79 = 61,509.06 : x
  2. Step 2: Convert to fraction form
    116,874.18/175,466.79 = 61,509.06/x
  3. Step 3: Cross multiply
    116,874.18x = 175,466.79 × 61,509.06
  4. Step 4: Simplify right side
    116,874.18x = 10,792,797,314.12
  5. Step 5: Solve for x
    x = 10,792,797,314.12/116,874.18
  6. Step 6: Final answer
    x = 92,345.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.