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Finding the Fourth Proportional to 129,345.60, 194,018.40 and 120,014.40

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Solution

The fourth proportional to 129,345.60, 194,018.40 and 120,014.40 is: 180,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,345.60 : 194,018.40 = 120,014.40 : x
  2. Step 2: Convert to fraction form
    129,345.60/194,018.40 = 120,014.40/x
  3. Step 3: Cross multiply
    129,345.60x = 194,018.40 × 120,014.40
  4. Step 4: Simplify right side
    129,345.60x = 23,285,001,864.96
  5. Step 5: Solve for x
    x = 23,285,001,864.96/129,345.60
  6. Step 6: Final answer
    x = 180,021.60

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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.