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Finding the Fourth Proportional to 286,018.16, 429,052.50 and 106,105.64

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Solution

The fourth proportional to 286,018.16, 429,052.50 and 106,105.64 is: 159,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,018.16 : 429,052.50 = 106,105.64 : x
  2. Step 2: Convert to fraction form
    286,018.16/429,052.50 = 106,105.64/x
  3. Step 3: Cross multiply
    286,018.16x = 429,052.50 × 106,105.64
  4. Step 4: Simplify right side
    286,018.16x = 45,524,887,960.84
  5. Step 5: Solve for x
    x = 45,524,887,960.84/286,018.16
  6. Step 6: Final answer
    x = 159,167.83

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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.