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Finding the Fourth Proportional to 130,415.42, 195,490.78 and 74,139.26

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Solution

The fourth proportional to 130,415.42, 195,490.78 and 74,139.26 is: 111,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,415.42 : 195,490.78 = 74,139.26 : x
  2. Step 2: Convert to fraction form
    130,415.42/195,490.78 = 74,139.26/x
  3. Step 3: Cross multiply
    130,415.42x = 195,490.78 × 74,139.26
  4. Step 4: Simplify right side
    130,415.42x = 14,493,540,603.22
  5. Step 5: Solve for x
    x = 14,493,540,603.22/130,415.42
  6. Step 6: Final answer
    x = 111,133.64

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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.