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Finding the Fourth Proportional to 130,997.98, 180,777.18 and 71,381.98

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Solution

The fourth proportional to 130,997.98, 180,777.18 and 71,381.98 is: 98,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,997.98 : 180,777.18 = 71,381.98 : x
  2. Step 2: Convert to fraction form
    130,997.98/180,777.18 = 71,381.98/x
  3. Step 3: Cross multiply
    130,997.98x = 180,777.18 × 71,381.98
  4. Step 4: Simplify right side
    130,997.98x = 12,904,233,047.22
  5. Step 5: Solve for x
    x = 12,904,233,047.22/130,997.98
  6. Step 6: Final answer
    x = 98,507.11

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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.