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Finding the Fourth Proportional to 130,224.98, 179,648.37 and 75,777.14

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Solution

The fourth proportional to 130,224.98, 179,648.37 and 75,777.14 is: 104,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,224.98 : 179,648.37 = 75,777.14 : x
  2. Step 2: Convert to fraction form
    130,224.98/179,648.37 = 75,777.14/x
  3. Step 3: Cross multiply
    130,224.98x = 179,648.37 × 75,777.14
  4. Step 4: Simplify right side
    130,224.98x = 13,613,239,684.26
  5. Step 5: Solve for x
    x = 13,613,239,684.26/130,224.98
  6. Step 6: Final answer
    x = 104,536.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.