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Finding the Fourth Proportional to 295,142.44, 442,559.94 and 105,529.72

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Solution

The fourth proportional to 295,142.44, 442,559.94 and 105,529.72 is: 158,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,142.44 : 442,559.94 = 105,529.72 : x
  2. Step 2: Convert to fraction form
    295,142.44/442,559.94 = 105,529.72/x
  3. Step 3: Cross multiply
    295,142.44x = 442,559.94 × 105,529.72
  4. Step 4: Simplify right side
    295,142.44x = 46,703,226,551.42
  5. Step 5: Solve for x
    x = 46,703,226,551.42/295,142.44
  6. Step 6: Final answer
    x = 158,239.62

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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.