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Finding the Fourth Proportional to 105,237.84, 145,230.36 and 57,494.28

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Solution

The fourth proportional to 105,237.84, 145,230.36 and 57,494.28 is: 79,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,237.84 : 145,230.36 = 57,494.28 : x
  2. Step 2: Convert to fraction form
    105,237.84/145,230.36 = 57,494.28/x
  3. Step 3: Cross multiply
    105,237.84x = 145,230.36 × 57,494.28
  4. Step 4: Simplify right side
    105,237.84x = 8,349,914,982.34
  5. Step 5: Solve for x
    x = 8,349,914,982.34/105,237.84
  6. Step 6: Final answer
    x = 79,343.28

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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.