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Finding the Fourth Proportional to 130,214.64, 195,268.50 and 41,444.31

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Solution

The fourth proportional to 130,214.64, 195,268.50 and 41,444.31 is: 62,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,214.64 : 195,268.50 = 41,444.31 : x
  2. Step 2: Convert to fraction form
    130,214.64/195,268.50 = 41,444.31/x
  3. Step 3: Cross multiply
    130,214.64x = 195,268.50 × 41,444.31
  4. Step 4: Simplify right side
    130,214.64x = 8,092,768,247.24
  5. Step 5: Solve for x
    x = 8,092,768,247.24/130,214.64
  6. Step 6: Final answer
    x = 62,149.45

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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.