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Finding the Fourth Proportional to 312,118.58, 468,181.84 and 109,706.51

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Solution

The fourth proportional to 312,118.58, 468,181.84 and 109,706.51 is: 164,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,118.58 : 468,181.84 = 109,706.51 : x
  2. Step 2: Convert to fraction form
    312,118.58/468,181.84 = 109,706.51/x
  3. Step 3: Cross multiply
    312,118.58x = 468,181.84 × 109,706.51
  4. Step 4: Simplify right side
    312,118.58x = 51,362,595,711.78
  5. Step 5: Solve for x
    x = 51,362,595,711.78/312,118.58
  6. Step 6: Final answer
    x = 164,561.16

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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.