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Finding the Fourth Proportional to 133,002.64, 183,377.64 and 85,177.36

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Solution

The fourth proportional to 133,002.64, 183,377.64 and 85,177.36 is: 117,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,002.64 : 183,377.64 = 85,177.36 : x
  2. Step 2: Convert to fraction form
    133,002.64/183,377.64 = 85,177.36/x
  3. Step 3: Cross multiply
    133,002.64x = 183,377.64 × 85,177.36
  4. Step 4: Simplify right side
    133,002.64x = 15,619,623,258.23
  5. Step 5: Solve for x
    x = 15,619,623,258.23/133,002.64
  6. Step 6: Final answer
    x = 117,438.45

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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.