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Finding the Fourth Proportional to 145,548.14, 200,856.12 and 81,886

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Solution

The fourth proportional to 145,548.14, 200,856.12 and 81,886 is: 113,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,548.14 : 200,856.12 = 81,886 : x
  2. Step 2: Convert to fraction form
    145,548.14/200,856.12 = 81,886/x
  3. Step 3: Cross multiply
    145,548.14x = 200,856.12 × 81,886
  4. Step 4: Simplify right side
    145,548.14x = 16,447,304,242.32
  5. Step 5: Solve for x
    x = 16,447,304,242.32/145,548.14
  6. Step 6: Final answer
    x = 113,002.50

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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.