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Finding the Fourth Proportional to 130,534.89, 195,816 and 55,662.93

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Solution

The fourth proportional to 130,534.89, 195,816 and 55,662.93 is: 83,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,534.89 : 195,816 = 55,662.93 : x
  2. Step 2: Convert to fraction form
    130,534.89/195,816 = 55,662.93/x
  3. Step 3: Cross multiply
    130,534.89x = 195,816 × 55,662.93
  4. Step 4: Simplify right side
    130,534.89x = 10,899,692,300.88
  5. Step 5: Solve for x
    x = 10,899,692,300.88/130,534.89
  6. Step 6: Final answer
    x = 83,500.22

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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.