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Finding the Fourth Proportional to 105,460.98, 145,536.12 and 57,714.30

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Solution

The fourth proportional to 105,460.98, 145,536.12 and 57,714.30 is: 79,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,460.98 : 145,536.12 = 57,714.30 : x
  2. Step 2: Convert to fraction form
    105,460.98/145,536.12 = 57,714.30/x
  3. Step 3: Cross multiply
    105,460.98x = 145,536.12 × 57,714.30
  4. Step 4: Simplify right side
    105,460.98x = 8,399,515,290.52
  5. Step 5: Solve for x
    x = 8,399,515,290.52/105,460.98
  6. Step 6: Final answer
    x = 79,645.72

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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.