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Finding the Fourth Proportional to 114,396.30, 157,812.30 and 76,173.48

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Solution

The fourth proportional to 114,396.30, 157,812.30 and 76,173.48 is: 105,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,396.30 : 157,812.30 = 76,173.48 : x
  2. Step 2: Convert to fraction form
    114,396.30/157,812.30 = 76,173.48/x
  3. Step 3: Cross multiply
    114,396.30x = 157,812.30 × 76,173.48
  4. Step 4: Simplify right side
    114,396.30x = 12,021,112,077.80
  5. Step 5: Solve for x
    x = 12,021,112,077.80/114,396.30
  6. Step 6: Final answer
    x = 105,083.05

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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.