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Finding the Fourth Proportional to 145,263.64, 200,442 and 81,589.24

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Solution

The fourth proportional to 145,263.64, 200,442 and 81,589.24 is: 112,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,263.64 : 200,442 = 81,589.24 : x
  2. Step 2: Convert to fraction form
    145,263.64/200,442 = 81,589.24/x
  3. Step 3: Cross multiply
    145,263.64x = 200,442 × 81,589.24
  4. Step 4: Simplify right side
    145,263.64x = 16,353,910,444.08
  5. Step 5: Solve for x
    x = 16,353,910,444.08/145,263.64
  6. Step 6: Final answer
    x = 112,580.89

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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.