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Finding the Fourth Proportional to 106,771.95, 147,351.75 and 61,448.94

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Solution

The fourth proportional to 106,771.95, 147,351.75 and 61,448.94 is: 84,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,771.95 : 147,351.75 = 61,448.94 : x
  2. Step 2: Convert to fraction form
    106,771.95/147,351.75 = 61,448.94/x
  3. Step 3: Cross multiply
    106,771.95x = 147,351.75 × 61,448.94
  4. Step 4: Simplify right side
    106,771.95x = 9,054,608,844.65
  5. Step 5: Solve for x
    x = 9,054,608,844.65/106,771.95
  6. Step 6: Final answer
    x = 84,803.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.