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Finding the Fourth Proportional to 294,785.60, 442,271.87 and 105,241.90

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Solution

The fourth proportional to 294,785.60, 442,271.87 and 105,241.90 is: 157,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,785.60 : 442,271.87 = 105,241.90 : x
  2. Step 2: Convert to fraction form
    294,785.60/442,271.87 = 105,241.90/x
  3. Step 3: Cross multiply
    294,785.60x = 442,271.87 × 105,241.90
  4. Step 4: Simplify right side
    294,785.60x = 46,545,531,915.35
  5. Step 5: Solve for x
    x = 46,545,531,915.35/294,785.60
  6. Step 6: Final answer
    x = 157,896.22

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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.