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Finding the Fourth Proportional to 145,445.49, 200,715.98 and 81,782.73

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Solution

The fourth proportional to 145,445.49, 200,715.98 and 81,782.73 is: 112,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,445.49 : 200,715.98 = 81,782.73 : x
  2. Step 2: Convert to fraction form
    145,445.49/200,715.98 = 81,782.73/x
  3. Step 3: Cross multiply
    145,445.49x = 200,715.98 × 81,782.73
  4. Step 4: Simplify right side
    145,445.49x = 16,415,100,390.11
  5. Step 5: Solve for x
    x = 16,415,100,390.11/145,445.49
  6. Step 6: Final answer
    x = 112,860.84

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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.