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Finding the Fourth Proportional to 145,147.68, 200,302.04 and 81,483.84

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Solution

The fourth proportional to 145,147.68, 200,302.04 and 81,483.84 is: 112,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,147.68 : 200,302.04 = 81,483.84 : x
  2. Step 2: Convert to fraction form
    145,147.68/200,302.04 = 81,483.84/x
  3. Step 3: Cross multiply
    145,147.68x = 200,302.04 × 81,483.84
  4. Step 4: Simplify right side
    145,147.68x = 16,321,379,379.03
  5. Step 5: Solve for x
    x = 16,321,379,379.03/145,147.68
  6. Step 6: Final answer
    x = 112,446.71

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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.