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Finding the Fourth Proportional to 130,598.46, 180,224.19 and 76,885.74

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Solution

The fourth proportional to 130,598.46, 180,224.19 and 76,885.74 is: 106,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,598.46 : 180,224.19 = 76,885.74 : x
  2. Step 2: Convert to fraction form
    130,598.46/180,224.19 = 76,885.74/x
  3. Step 3: Cross multiply
    130,598.46x = 180,224.19 × 76,885.74
  4. Step 4: Simplify right side
    130,598.46x = 13,856,670,214.05
  5. Step 5: Solve for x
    x = 13,856,670,214.05/130,598.46
  6. Step 6: Final answer
    x = 106,101.33

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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.