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Finding the Fourth Proportional to 105,290.88, 145,258 and 73,478.24

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Solution

The fourth proportional to 105,290.88, 145,258 and 73,478.24 is: 101,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,290.88 : 145,258 = 73,478.24 : x
  2. Step 2: Convert to fraction form
    105,290.88/145,258 = 73,478.24/x
  3. Step 3: Cross multiply
    105,290.88x = 145,258 × 73,478.24
  4. Step 4: Simplify right side
    105,290.88x = 10,673,302,185.92
  5. Step 5: Solve for x
    x = 10,673,302,185.92/105,290.88
  6. Step 6: Final answer
    x = 101,369.67

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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.