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Finding the Fourth Proportional to 145,476.89, 200,777.48 and 81,827.00

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Solution

The fourth proportional to 145,476.89, 200,777.48 and 81,827.00 is: 112,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,476.89 : 200,777.48 = 81,827.00 : x
  2. Step 2: Convert to fraction form
    145,476.89/200,777.48 = 81,827.00/x
  3. Step 3: Cross multiply
    145,476.89x = 200,777.48 × 81,827.00
  4. Step 4: Simplify right side
    145,476.89x = 16,429,017,442.94
  5. Step 5: Solve for x
    x = 16,429,017,442.94/145,476.89
  6. Step 6: Final answer
    x = 112,932.15

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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.