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Finding the Fourth Proportional to 105,430.44, 145,490.37 and 60,123

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Solution

The fourth proportional to 105,430.44, 145,490.37 and 60,123 is: 82,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,430.44 : 145,490.37 = 60,123 : x
  2. Step 2: Convert to fraction form
    105,430.44/145,490.37 = 60,123/x
  3. Step 3: Cross multiply
    105,430.44x = 145,490.37 × 60,123
  4. Step 4: Simplify right side
    105,430.44x = 8,747,317,515.51
  5. Step 5: Solve for x
    x = 8,747,317,515.51/105,430.44
  6. Step 6: Final answer
    x = 82,967.67

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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.