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Finding the Fourth Proportional to 189,398.48, 283,827 and 139,083.92

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Solution

The fourth proportional to 189,398.48, 283,827 and 139,083.92 is: 208,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,398.48 : 283,827 = 139,083.92 : x
  2. Step 2: Convert to fraction form
    189,398.48/283,827 = 139,083.92/x
  3. Step 3: Cross multiply
    189,398.48x = 283,827 × 139,083.92
  4. Step 4: Simplify right side
    189,398.48x = 39,475,771,761.84
  5. Step 5: Solve for x
    x = 39,475,771,761.84/189,398.48
  6. Step 6: Final answer
    x = 208,427.08

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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.