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Finding the Fourth Proportional to 139,513.84, 192,530.48 and 75,853

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Solution

The fourth proportional to 139,513.84, 192,530.48 and 75,853 is: 104,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,513.84 : 192,530.48 = 75,853 : x
  2. Step 2: Convert to fraction form
    139,513.84/192,530.48 = 75,853/x
  3. Step 3: Cross multiply
    139,513.84x = 192,530.48 × 75,853
  4. Step 4: Simplify right side
    139,513.84x = 14,604,014,499.44
  5. Step 5: Solve for x
    x = 14,604,014,499.44/139,513.84
  6. Step 6: Final answer
    x = 104,677.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.