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Finding the Fourth Proportional to 140,774.40, 194,222.16 and 86,306.40

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Solution

The fourth proportional to 140,774.40, 194,222.16 and 86,306.40 is: 119,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,774.40 : 194,222.16 = 86,306.40 : x
  2. Step 2: Convert to fraction form
    140,774.40/194,222.16 = 86,306.40/x
  3. Step 3: Cross multiply
    140,774.40x = 194,222.16 × 86,306.40
  4. Step 4: Simplify right side
    140,774.40x = 16,762,615,429.82
  5. Step 5: Solve for x
    x = 16,762,615,429.82/140,774.40
  6. Step 6: Final answer
    x = 119,074.32

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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.