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Finding the Fourth Proportional to 107,853.12, 148,876.38 and 65,410.74

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Solution

The fourth proportional to 107,853.12, 148,876.38 and 65,410.74 is: 90,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,853.12 : 148,876.38 = 65,410.74 : x
  2. Step 2: Convert to fraction form
    107,853.12/148,876.38 = 65,410.74/x
  3. Step 3: Cross multiply
    107,853.12x = 148,876.38 × 65,410.74
  4. Step 4: Simplify right side
    107,853.12x = 9,738,114,184.32
  5. Step 5: Solve for x
    x = 9,738,114,184.32/107,853.12
  6. Step 6: Final answer
    x = 90,290.52

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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.