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Finding the Fourth Proportional to 105,153.40, 145,115.13 and 57,409.30

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Solution

The fourth proportional to 105,153.40, 145,115.13 and 57,409.30 is: 79,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,153.40 : 145,115.13 = 57,409.30 : x
  2. Step 2: Convert to fraction form
    105,153.40/145,115.13 = 57,409.30/x
  3. Step 3: Cross multiply
    105,153.40x = 145,115.13 × 57,409.30
  4. Step 4: Simplify right side
    105,153.40x = 8,330,958,032.71
  5. Step 5: Solve for x
    x = 8,330,958,032.71/105,153.40
  6. Step 6: Final answer
    x = 79,226.71

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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.