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Finding the Fourth Proportional to 145,497.48, 200,786.66 and 81,835.40

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Solution

The fourth proportional to 145,497.48, 200,786.66 and 81,835.40 is: 112,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,497.48 : 200,786.66 = 81,835.40 : x
  2. Step 2: Convert to fraction form
    145,497.48/200,786.66 = 81,835.40/x
  3. Step 3: Cross multiply
    145,497.48x = 200,786.66 × 81,835.40
  4. Step 4: Simplify right side
    145,497.48x = 16,431,456,635.76
  5. Step 5: Solve for x
    x = 16,431,456,635.76/145,497.48
  6. Step 6: Final answer
    x = 112,932.93

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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.