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Finding the Fourth Proportional to 152,241.36, 210,098.76 and 85,173.84

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Solution

The fourth proportional to 152,241.36, 210,098.76 and 85,173.84 is: 117,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,241.36 : 210,098.76 = 85,173.84 : x
  2. Step 2: Convert to fraction form
    152,241.36/210,098.76 = 85,173.84/x
  3. Step 3: Cross multiply
    152,241.36x = 210,098.76 × 85,173.84
  4. Step 4: Simplify right side
    152,241.36x = 17,894,918,168.44
  5. Step 5: Solve for x
    x = 17,894,918,168.44/152,241.36
  6. Step 6: Final answer
    x = 117,543.08

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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.