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Finding the Fourth Proportional to 105,451.98, 145,523.74 and 57,705.33

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Solution

The fourth proportional to 105,451.98, 145,523.74 and 57,705.33 is: 79,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,451.98 : 145,523.74 = 57,705.33 : x
  2. Step 2: Convert to fraction form
    105,451.98/145,523.74 = 57,705.33/x
  3. Step 3: Cross multiply
    105,451.98x = 145,523.74 × 57,705.33
  4. Step 4: Simplify right side
    105,451.98x = 8,397,495,130.61
  5. Step 5: Solve for x
    x = 8,397,495,130.61/105,451.98
  6. Step 6: Final answer
    x = 79,633.36

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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.