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Finding the Fourth Proportional to 160,494.90, 240,741.78 and 48,174.63

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Solution

The fourth proportional to 160,494.90, 240,741.78 and 48,174.63 is: 72,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,494.90 : 240,741.78 = 48,174.63 : x
  2. Step 2: Convert to fraction form
    160,494.90/240,741.78 = 48,174.63/x
  3. Step 3: Cross multiply
    160,494.90x = 240,741.78 × 48,174.63
  4. Step 4: Simplify right side
    160,494.90x = 11,597,646,177.04
  5. Step 5: Solve for x
    x = 11,597,646,177.04/160,494.90
  6. Step 6: Final answer
    x = 72,261.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.