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Finding the Fourth Proportional to 99,878, 137,832.72 and 55,166

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Solution

The fourth proportional to 99,878, 137,832.72 and 55,166 is: 76,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,878 : 137,832.72 = 55,166 : x
  2. Step 2: Convert to fraction form
    99,878/137,832.72 = 55,166/x
  3. Step 3: Cross multiply
    99,878x = 137,832.72 × 55,166
  4. Step 4: Simplify right side
    99,878x = 7,603,679,831.52
  5. Step 5: Solve for x
    x = 7,603,679,831.52/99,878
  6. Step 6: Final answer
    x = 76,129.68

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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.