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Finding the Fourth Proportional to 119,164.01, 178,745.85 and 30,417.53

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Solution

The fourth proportional to 119,164.01, 178,745.85 and 30,417.53 is: 45,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,164.01 : 178,745.85 = 30,417.53 : x
  2. Step 2: Convert to fraction form
    119,164.01/178,745.85 = 30,417.53/x
  3. Step 3: Cross multiply
    119,164.01x = 178,745.85 × 30,417.53
  4. Step 4: Simplify right side
    119,164.01x = 5,437,006,361.02
  5. Step 5: Solve for x
    x = 5,437,006,361.02/119,164.01
  6. Step 6: Final answer
    x = 45,626.25

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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.