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Finding the Fourth Proportional to 105,117.54, 145,062.72 and 57,372

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Solution

The fourth proportional to 105,117.54, 145,062.72 and 57,372 is: 79,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,117.54 : 145,062.72 = 57,372 : x
  2. Step 2: Convert to fraction form
    105,117.54/145,062.72 = 57,372/x
  3. Step 3: Cross multiply
    105,117.54x = 145,062.72 × 57,372
  4. Step 4: Simplify right side
    105,117.54x = 8,322,538,371.84
  5. Step 5: Solve for x
    x = 8,322,538,371.84/105,117.54
  6. Step 6: Final answer
    x = 79,173.64

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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.