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Finding the Fourth Proportional to 145,510.40, 200,782.32 and 81,863.84

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Solution

The fourth proportional to 145,510.40, 200,782.32 and 81,863.84 is: 112,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,510.40 : 200,782.32 = 81,863.84 : x
  2. Step 2: Convert to fraction form
    145,510.40/200,782.32 = 81,863.84/x
  3. Step 3: Cross multiply
    145,510.40x = 200,782.32 × 81,863.84
  4. Step 4: Simplify right side
    145,510.40x = 16,436,811,719.31
  5. Step 5: Solve for x
    x = 16,436,811,719.31/145,510.40
  6. Step 6: Final answer
    x = 112,959.70

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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.