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Finding the Fourth Proportional to 145,577.32, 200,899.77 and 81,915.12

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Solution

The fourth proportional to 145,577.32, 200,899.77 and 81,915.12 is: 113,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,577.32 : 200,899.77 = 81,915.12 : x
  2. Step 2: Convert to fraction form
    145,577.32/200,899.77 = 81,915.12/x
  3. Step 3: Cross multiply
    145,577.32x = 200,899.77 × 81,915.12
  4. Step 4: Simplify right side
    145,577.32x = 16,456,728,767.52
  5. Step 5: Solve for x
    x = 16,456,728,767.52/145,577.32
  6. Step 6: Final answer
    x = 113,044.59

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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.