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Finding the Fourth Proportional to 182,098.64, 273,232.48 and 69,741.60

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Solution

The fourth proportional to 182,098.64, 273,232.48 and 69,741.60 is: 104,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,098.64 : 273,232.48 = 69,741.60 : x
  2. Step 2: Convert to fraction form
    182,098.64/273,232.48 = 69,741.60/x
  3. Step 3: Cross multiply
    182,098.64x = 273,232.48 × 69,741.60
  4. Step 4: Simplify right side
    182,098.64x = 19,055,670,327.17
  5. Step 5: Solve for x
    x = 19,055,670,327.17/182,098.64
  6. Step 6: Final answer
    x = 104,644.77

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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.