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Finding the Fourth Proportional to 193,257.40, 289,742.10 and 99,830.20

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Solution

The fourth proportional to 193,257.40, 289,742.10 and 99,830.20 is: 149,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,257.40 : 289,742.10 = 99,830.20 : x
  2. Step 2: Convert to fraction form
    193,257.40/289,742.10 = 99,830.20/x
  3. Step 3: Cross multiply
    193,257.40x = 289,742.10 × 99,830.20
  4. Step 4: Simplify right side
    193,257.40x = 28,925,011,791.42
  5. Step 5: Solve for x
    x = 28,925,011,791.42/193,257.40
  6. Step 6: Final answer
    x = 149,670.91

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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.