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Finding the Fourth Proportional to 105,780, 145,908 and 73,937.28

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Solution

The fourth proportional to 105,780, 145,908 and 73,937.28 is: 101,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,780 : 145,908 = 73,937.28 : x
  2. Step 2: Convert to fraction form
    105,780/145,908 = 73,937.28/x
  3. Step 3: Cross multiply
    105,780x = 145,908 × 73,937.28
  4. Step 4: Simplify right side
    105,780x = 10,788,040,650.24
  5. Step 5: Solve for x
    x = 10,788,040,650.24/105,780
  6. Step 6: Final answer
    x = 101,985.64

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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.