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Finding the Fourth Proportional to 147,963, 204,193.98 and 80,899.32

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Solution

The fourth proportional to 147,963, 204,193.98 and 80,899.32 is: 111,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,963 : 204,193.98 = 80,899.32 : x
  2. Step 2: Convert to fraction form
    147,963/204,193.98 = 80,899.32/x
  3. Step 3: Cross multiply
    147,963x = 204,193.98 × 80,899.32
  4. Step 4: Simplify right side
    147,963x = 16,519,154,130.09
  5. Step 5: Solve for x
    x = 16,519,154,130.09/147,963
  6. Step 6: Final answer
    x = 111,643.82

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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.