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Finding the Fourth Proportional to 189,196.16, 283,823.40 and 64,508

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Solution

The fourth proportional to 189,196.16, 283,823.40 and 64,508 is: 96,771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,196.16 : 283,823.40 = 64,508 : x
  2. Step 2: Convert to fraction form
    189,196.16/283,823.40 = 64,508/x
  3. Step 3: Cross multiply
    189,196.16x = 283,823.40 × 64,508
  4. Step 4: Simplify right side
    189,196.16x = 18,308,879,887.20
  5. Step 5: Solve for x
    x = 18,308,879,887.20/189,196.16
  6. Step 6: Final answer
    x = 96,771.94

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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.