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Finding the Fourth Proportional to 119,164.56, 178,781.04 and 97,185.84

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Solution

The fourth proportional to 119,164.56, 178,781.04 and 97,185.84 is: 145,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,164.56 : 178,781.04 = 97,185.84 : x
  2. Step 2: Convert to fraction form
    119,164.56/178,781.04 = 97,185.84/x
  3. Step 3: Cross multiply
    119,164.56x = 178,781.04 × 97,185.84
  4. Step 4: Simplify right side
    119,164.56x = 17,374,985,548.47
  5. Step 5: Solve for x
    x = 17,374,985,548.47/119,164.56
  6. Step 6: Final answer
    x = 145,806.65

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Why These Related Problems?

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