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Finding the Fourth Proportional to 145,108.52, 200,258.64 and 81,446.30

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Solution

The fourth proportional to 145,108.52, 200,258.64 and 81,446.30 is: 112,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,108.52 : 200,258.64 = 81,446.30 : x
  2. Step 2: Convert to fraction form
    145,108.52/200,258.64 = 81,446.30/x
  3. Step 3: Cross multiply
    145,108.52x = 200,258.64 × 81,446.30
  4. Step 4: Simplify right side
    145,108.52x = 16,310,325,271.03
  5. Step 5: Solve for x
    x = 16,310,325,271.03/145,108.52
  6. Step 6: Final answer
    x = 112,400.88

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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.