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Finding the Fourth Proportional to 130,644.66, 180,322.29 and 80,314.50

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Solution

The fourth proportional to 130,644.66, 180,322.29 and 80,314.50 is: 110,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,644.66 : 180,322.29 = 80,314.50 : x
  2. Step 2: Convert to fraction form
    130,644.66/180,322.29 = 80,314.50/x
  3. Step 3: Cross multiply
    130,644.66x = 180,322.29 × 80,314.50
  4. Step 4: Simplify right side
    130,644.66x = 14,482,494,560.21
  5. Step 5: Solve for x
    x = 14,482,494,560.21/130,644.66
  6. Step 6: Final answer
    x = 110,854.09

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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.