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Finding the Fourth Proportional to 105,314.88, 145,337.12 and 57,570.24

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Solution

The fourth proportional to 105,314.88, 145,337.12 and 57,570.24 is: 79,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,314.88 : 145,337.12 = 57,570.24 : x
  2. Step 2: Convert to fraction form
    105,314.88/145,337.12 = 57,570.24/x
  3. Step 3: Cross multiply
    105,314.88x = 145,337.12 × 57,570.24
  4. Step 4: Simplify right side
    105,314.88x = 8,367,092,879.31
  5. Step 5: Solve for x
    x = 8,367,092,879.31/105,314.88
  6. Step 6: Final answer
    x = 79,448.34

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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.