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Finding the Fourth Proportional to 105,093.40, 145,029.26 and 57,347.80

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Solution

The fourth proportional to 105,093.40, 145,029.26 and 57,347.80 is: 79,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,093.40 : 145,029.26 = 57,347.80 : x
  2. Step 2: Convert to fraction form
    105,093.40/145,029.26 = 57,347.80/x
  3. Step 3: Cross multiply
    105,093.40x = 145,029.26 × 57,347.80
  4. Step 4: Simplify right side
    105,093.40x = 8,317,108,996.63
  5. Step 5: Solve for x
    x = 8,317,108,996.63/105,093.40
  6. Step 6: Final answer
    x = 79,140.16

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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.