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Finding the Fourth Proportional to 136,646, 205,074.84 and 94,819.76

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Solution

The fourth proportional to 136,646, 205,074.84 and 94,819.76 is: 142,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,646 : 205,074.84 = 94,819.76 : x
  2. Step 2: Convert to fraction form
    136,646/205,074.84 = 94,819.76/x
  3. Step 3: Cross multiply
    136,646x = 205,074.84 × 94,819.76
  4. Step 4: Simplify right side
    136,646x = 19,445,147,110.84
  5. Step 5: Solve for x
    x = 19,445,147,110.84/136,646
  6. Step 6: Final answer
    x = 142,303.08

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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.