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Finding the Fourth Proportional to 295,194.39, 442,758.78 and 105,647.10

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Solution

The fourth proportional to 295,194.39, 442,758.78 and 105,647.10 is: 158,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,194.39 : 442,758.78 = 105,647.10 : x
  2. Step 2: Convert to fraction form
    295,194.39/442,758.78 = 105,647.10/x
  3. Step 3: Cross multiply
    295,194.39x = 442,758.78 × 105,647.10
  4. Step 4: Simplify right side
    295,194.39x = 46,776,181,106.54
  5. Step 5: Solve for x
    x = 46,776,181,106.54/295,194.39
  6. Step 6: Final answer
    x = 158,458.91

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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.