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Finding the Fourth Proportional to 149,100.24, 205,763.04 and 85,458

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Solution

The fourth proportional to 149,100.24, 205,763.04 and 85,458 is: 117,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,100.24 : 205,763.04 = 85,458 : x
  2. Step 2: Convert to fraction form
    149,100.24/205,763.04 = 85,458/x
  3. Step 3: Cross multiply
    149,100.24x = 205,763.04 × 85,458
  4. Step 4: Simplify right side
    149,100.24x = 17,584,097,872.32
  5. Step 5: Solve for x
    x = 17,584,097,872.32/149,100.24
  6. Step 6: Final answer
    x = 117,934.74

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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.