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Finding the Fourth Proportional to 189,386, 283,929.24 and 94,567.44

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Solution

The fourth proportional to 189,386, 283,929.24 and 94,567.44 is: 141,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,386 : 283,929.24 = 94,567.44 : x
  2. Step 2: Convert to fraction form
    189,386/283,929.24 = 94,567.44/x
  3. Step 3: Cross multiply
    189,386x = 283,929.24 × 94,567.44
  4. Step 4: Simplify right side
    189,386x = 26,850,461,367.95
  5. Step 5: Solve for x
    x = 26,850,461,367.95/189,386
  6. Step 6: Final answer
    x = 141,776.38

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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.