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Finding the Fourth Proportional to 145,258.29, 200,473.56 and 81,595.80

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Solution

The fourth proportional to 145,258.29, 200,473.56 and 81,595.80 is: 112,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,258.29 : 200,473.56 = 81,595.80 : x
  2. Step 2: Convert to fraction form
    145,258.29/200,473.56 = 81,595.80/x
  3. Step 3: Cross multiply
    145,258.29x = 200,473.56 × 81,595.80
  4. Step 4: Simplify right side
    145,258.29x = 16,357,800,507.05
  5. Step 5: Solve for x
    x = 16,357,800,507.05/145,258.29
  6. Step 6: Final answer
    x = 112,611.82

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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.