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Finding the Fourth Proportional to 105,321.72, 158,026.50 and 46,199.82

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Solution

The fourth proportional to 105,321.72, 158,026.50 and 46,199.82 is: 69,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,321.72 : 158,026.50 = 46,199.82 : x
  2. Step 2: Convert to fraction form
    105,321.72/158,026.50 = 46,199.82/x
  3. Step 3: Cross multiply
    105,321.72x = 158,026.50 × 46,199.82
  4. Step 4: Simplify right side
    105,321.72x = 7,300,795,855.23
  5. Step 5: Solve for x
    x = 7,300,795,855.23/105,321.72
  6. Step 6: Final answer
    x = 69,319.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.