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Finding the Fourth Proportional to 106,038.36, 146,331 and 58,291.26

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Solution

The fourth proportional to 106,038.36, 146,331 and 58,291.26 is: 80,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,038.36 : 146,331 = 58,291.26 : x
  2. Step 2: Convert to fraction form
    106,038.36/146,331 = 58,291.26/x
  3. Step 3: Cross multiply
    106,038.36x = 146,331 × 58,291.26
  4. Step 4: Simplify right side
    106,038.36x = 8,529,818,367.06
  5. Step 5: Solve for x
    x = 8,529,818,367.06/106,038.36
  6. Step 6: Final answer
    x = 80,440.87

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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.