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Finding the Fourth Proportional to 133,205.42, 183,823.64 and 72,777.08

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Solution

The fourth proportional to 133,205.42, 183,823.64 and 72,777.08 is: 100,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,205.42 : 183,823.64 = 72,777.08 : x
  2. Step 2: Convert to fraction form
    133,205.42/183,823.64 = 72,777.08/x
  3. Step 3: Cross multiply
    133,205.42x = 183,823.64 × 72,777.08
  4. Step 4: Simplify right side
    133,205.42x = 13,378,147,390.29
  5. Step 5: Solve for x
    x = 13,378,147,390.29/133,205.42
  6. Step 6: Final answer
    x = 100,432.46

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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.