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Finding the Fourth Proportional to 105,098.99, 145,039.68 and 57,355.40

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Solution

The fourth proportional to 105,098.99, 145,039.68 and 57,355.40 is: 79,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,098.99 : 145,039.68 = 57,355.40 : x
  2. Step 2: Convert to fraction form
    105,098.99/145,039.68 = 57,355.40/x
  3. Step 3: Cross multiply
    105,098.99x = 145,039.68 × 57,355.40
  4. Step 4: Simplify right side
    105,098.99x = 8,318,809,224.87
  5. Step 5: Solve for x
    x = 8,318,809,224.87/105,098.99
  6. Step 6: Final answer
    x = 79,152.14

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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.