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Finding the Fourth Proportional to 133,090.38, 183,664.98 and 85,343.76

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Solution

The fourth proportional to 133,090.38, 183,664.98 and 85,343.76 is: 117,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,090.38 : 183,664.98 = 85,343.76 : x
  2. Step 2: Convert to fraction form
    133,090.38/183,664.98 = 85,343.76/x
  3. Step 3: Cross multiply
    133,090.38x = 183,664.98 × 85,343.76
  4. Step 4: Simplify right side
    133,090.38x = 15,674,659,973.52
  5. Step 5: Solve for x
    x = 15,674,659,973.52/133,090.38
  6. Step 6: Final answer
    x = 117,774.55

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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.