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Finding the Fourth Proportional to 106,074.32, 146,386.32 and 58,331.36

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Solution

The fourth proportional to 106,074.32, 146,386.32 and 58,331.36 is: 80,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,074.32 : 146,386.32 = 58,331.36 : x
  2. Step 2: Convert to fraction form
    106,074.32/146,386.32 = 58,331.36/x
  3. Step 3: Cross multiply
    106,074.32x = 146,386.32 × 58,331.36
  4. Step 4: Simplify right side
    106,074.32x = 8,538,913,131.00
  5. Step 5: Solve for x
    x = 8,538,913,131.00/106,074.32
  6. Step 6: Final answer
    x = 80,499.34

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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.