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Finding the Fourth Proportional to 295,283.88, 442,878.44 and 105,709.05

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Solution

The fourth proportional to 295,283.88, 442,878.44 and 105,709.05 is: 158,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,283.88 : 442,878.44 = 105,709.05 : x
  2. Step 2: Convert to fraction form
    295,283.88/442,878.44 = 105,709.05/x
  3. Step 3: Cross multiply
    295,283.88x = 442,878.44 × 105,709.05
  4. Step 4: Simplify right side
    295,283.88x = 46,816,258,629.34
  5. Step 5: Solve for x
    x = 46,816,258,629.34/295,283.88
  6. Step 6: Final answer
    x = 158,546.61

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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.