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Finding the Fourth Proportional to 105,204.68, 145,181.72 and 57,458.04

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Solution

The fourth proportional to 105,204.68, 145,181.72 and 57,458.04 is: 79,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,204.68 : 145,181.72 = 57,458.04 : x
  2. Step 2: Convert to fraction form
    105,204.68/145,181.72 = 57,458.04/x
  3. Step 3: Cross multiply
    105,204.68x = 145,181.72 × 57,458.04
  4. Step 4: Simplify right side
    105,204.68x = 8,341,857,075.03
  5. Step 5: Solve for x
    x = 8,341,857,075.03/105,204.68
  6. Step 6: Final answer
    x = 79,291.69

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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.