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Finding the Fourth Proportional to 105,296.50, 145,308.90 and 57,550.17

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Solution

The fourth proportional to 105,296.50, 145,308.90 and 57,550.17 is: 79,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,296.50 : 145,308.90 = 57,550.17 : x
  2. Step 2: Convert to fraction form
    105,296.50/145,308.90 = 57,550.17/x
  3. Step 3: Cross multiply
    105,296.50x = 145,308.90 × 57,550.17
  4. Step 4: Simplify right side
    105,296.50x = 8,362,551,897.51
  5. Step 5: Solve for x
    x = 8,362,551,897.51/105,296.50
  6. Step 6: Final answer
    x = 79,419.09

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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.