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Finding the Fourth Proportional to 136,205.84, 204,307.80 and 53,099.84

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Solution

The fourth proportional to 136,205.84, 204,307.80 and 53,099.84 is: 79,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,205.84 : 204,307.80 = 53,099.84 : x
  2. Step 2: Convert to fraction form
    136,205.84/204,307.80 = 53,099.84/x
  3. Step 3: Cross multiply
    136,205.84x = 204,307.80 × 53,099.84
  4. Step 4: Simplify right side
    136,205.84x = 10,848,711,490.75
  5. Step 5: Solve for x
    x = 10,848,711,490.75/136,205.84
  6. Step 6: Final answer
    x = 79,649.39

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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.