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Finding the Fourth Proportional to 100,196.42, 149,410.48 and 99,296.55

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Solution

The fourth proportional to 100,196.42, 149,410.48 and 99,296.55 is: 148,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,196.42 : 149,410.48 = 99,296.55 : x
  2. Step 2: Convert to fraction form
    100,196.42/149,410.48 = 99,296.55/x
  3. Step 3: Cross multiply
    100,196.42x = 149,410.48 × 99,296.55
  4. Step 4: Simplify right side
    100,196.42x = 14,835,945,509.89
  5. Step 5: Solve for x
    x = 14,835,945,509.89/100,196.42
  6. Step 6: Final answer
    x = 148,068.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.