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Finding the Fourth Proportional to 144,762.58, 217,090.50 and 49,968.64

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Solution

The fourth proportional to 144,762.58, 217,090.50 and 49,968.64 is: 74,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,762.58 : 217,090.50 = 49,968.64 : x
  2. Step 2: Convert to fraction form
    144,762.58/217,090.50 = 49,968.64/x
  3. Step 3: Cross multiply
    144,762.58x = 217,090.50 × 49,968.64
  4. Step 4: Simplify right side
    144,762.58x = 10,847,717,041.92
  5. Step 5: Solve for x
    x = 10,847,717,041.92/144,762.58
  6. Step 6: Final answer
    x = 74,934.54

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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.