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Finding the Fourth Proportional to 151,070.88, 226,667.76 and 97,096

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Solution

The fourth proportional to 151,070.88, 226,667.76 and 97,096 is: 145,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,070.88 : 226,667.76 = 97,096 : x
  2. Step 2: Convert to fraction form
    151,070.88/226,667.76 = 97,096/x
  3. Step 3: Cross multiply
    151,070.88x = 226,667.76 × 97,096
  4. Step 4: Simplify right side
    151,070.88x = 22,008,532,824.96
  5. Step 5: Solve for x
    x = 22,008,532,824.96/151,070.88
  6. Step 6: Final answer
    x = 145,683.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.