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Finding the Fourth Proportional to 294,762.75, 442,144.13 and 73,146.75

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Solution

The fourth proportional to 294,762.75, 442,144.13 and 73,146.75 is: 109,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,762.75 : 442,144.13 = 73,146.75 : x
  2. Step 2: Convert to fraction form
    294,762.75/442,144.13 = 73,146.75/x
  3. Step 3: Cross multiply
    294,762.75x = 442,144.13 × 73,146.75
  4. Step 4: Simplify right side
    294,762.75x = 32,341,405,775.34
  5. Step 5: Solve for x
    x = 32,341,405,775.34/294,762.75
  6. Step 6: Final answer
    x = 109,720.13

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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.