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Finding the Fourth Proportional to 105,728.18, 145,905.09 and 57,981.88

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Solution

The fourth proportional to 105,728.18, 145,905.09 and 57,981.88 is: 80,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728.18 : 145,905.09 = 57,981.88 : x
  2. Step 2: Convert to fraction form
    105,728.18/145,905.09 = 57,981.88/x
  3. Step 3: Cross multiply
    105,728.18x = 145,905.09 × 57,981.88
  4. Step 4: Simplify right side
    105,728.18x = 8,459,851,419.77
  5. Step 5: Solve for x
    x = 8,459,851,419.77/105,728.18
  6. Step 6: Final answer
    x = 80,015.10

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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.