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Finding the Fourth Proportional to 291,762.64, 437,643.96 and 92,098.60

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Solution

The fourth proportional to 291,762.64, 437,643.96 and 92,098.60 is: 138,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,762.64 : 437,643.96 = 92,098.60 : x
  2. Step 2: Convert to fraction form
    291,762.64/437,643.96 = 92,098.60/x
  3. Step 3: Cross multiply
    291,762.64x = 437,643.96 × 92,098.60
  4. Step 4: Simplify right side
    291,762.64x = 40,306,396,014.46
  5. Step 5: Solve for x
    x = 40,306,396,014.46/291,762.64
  6. Step 6: Final answer
    x = 138,147.90

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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.