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Finding the Fourth Proportional to 103,514.36, 142,748.34 and 65,723

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Solution

The fourth proportional to 103,514.36, 142,748.34 and 65,723 is: 90,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,514.36 : 142,748.34 = 65,723 : x
  2. Step 2: Convert to fraction form
    103,514.36/142,748.34 = 65,723/x
  3. Step 3: Cross multiply
    103,514.36x = 142,748.34 × 65,723
  4. Step 4: Simplify right side
    103,514.36x = 9,381,849,149.82
  5. Step 5: Solve for x
    x = 9,381,849,149.82/103,514.36
  6. Step 6: Final answer
    x = 90,633.31

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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.