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Finding the Fourth Proportional to 130,474.98, 180,056.16 and 73,114.43

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Solution

The fourth proportional to 130,474.98, 180,056.16 and 73,114.43 is: 100,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,474.98 : 180,056.16 = 73,114.43 : x
  2. Step 2: Convert to fraction form
    130,474.98/180,056.16 = 73,114.43/x
  3. Step 3: Cross multiply
    130,474.98x = 180,056.16 × 73,114.43
  4. Step 4: Simplify right side
    130,474.98x = 13,164,702,606.11
  5. Step 5: Solve for x
    x = 13,164,702,606.11/130,474.98
  6. Step 6: Final answer
    x = 100,898.29

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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.