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Finding the Fourth Proportional to 102,913, 142,019.94 and 55,809

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Solution

The fourth proportional to 102,913, 142,019.94 and 55,809 is: 77,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,913 : 142,019.94 = 55,809 : x
  2. Step 2: Convert to fraction form
    102,913/142,019.94 = 55,809/x
  3. Step 3: Cross multiply
    102,913x = 142,019.94 × 55,809
  4. Step 4: Simplify right side
    102,913x = 7,925,990,831.46
  5. Step 5: Solve for x
    x = 7,925,990,831.46/102,913
  6. Step 6: Final answer
    x = 77,016.42

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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.