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Finding the Fourth Proportional to 105,196.65, 145,172.53 and 57,451.40

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Solution

The fourth proportional to 105,196.65, 145,172.53 and 57,451.40 is: 79,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,196.65 : 145,172.53 = 57,451.40 : x
  2. Step 2: Convert to fraction form
    105,196.65/145,172.53 = 57,451.40/x
  3. Step 3: Cross multiply
    105,196.65x = 145,172.53 × 57,451.40
  4. Step 4: Simplify right side
    105,196.65x = 8,340,365,090.04
  5. Step 5: Solve for x
    x = 8,340,365,090.04/105,196.65
  6. Step 6: Final answer
    x = 79,283.56

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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.