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Finding the Fourth Proportional to 105,297, 145,309.59 and 57,550.68

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Solution

The fourth proportional to 105,297, 145,309.59 and 57,550.68 is: 79,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,297 : 145,309.59 = 57,550.68 : x
  2. Step 2: Convert to fraction form
    105,297/145,309.59 = 57,550.68/x
  3. Step 3: Cross multiply
    105,297x = 145,309.59 × 57,550.68
  4. Step 4: Simplify right side
    105,297x = 8,362,665,715.02
  5. Step 5: Solve for x
    x = 8,362,665,715.02/105,297
  6. Step 6: Final answer
    x = 79,419.79

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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.