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Finding the Fourth Proportional to 105,722.68, 145,899.32 and 57,973.20

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Solution

The fourth proportional to 105,722.68, 145,899.32 and 57,973.20 is: 80,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,722.68 : 145,899.32 = 57,973.20 : x
  2. Step 2: Convert to fraction form
    105,722.68/145,899.32 = 57,973.20/x
  3. Step 3: Cross multiply
    105,722.68x = 145,899.32 × 57,973.20
  4. Step 4: Simplify right side
    105,722.68x = 8,458,250,458.22
  5. Step 5: Solve for x
    x = 8,458,250,458.22/105,722.68
  6. Step 6: Final answer
    x = 80,004.12

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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.