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Finding the Fourth Proportional to 105,080.90, 145,012.10 and 57,335.24

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Solution

The fourth proportional to 105,080.90, 145,012.10 and 57,335.24 is: 79,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,080.90 : 145,012.10 = 57,335.24 : x
  2. Step 2: Convert to fraction form
    105,080.90/145,012.10 = 57,335.24/x
  3. Step 3: Cross multiply
    105,080.90x = 145,012.10 × 57,335.24
  4. Step 4: Simplify right side
    105,080.90x = 8,314,303,632.26
  5. Step 5: Solve for x
    x = 8,314,303,632.26/105,080.90
  6. Step 6: Final answer
    x = 79,122.89

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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.