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Finding the Fourth Proportional to 193,298.96, 289,878.91 and 66,904.88

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Solution

The fourth proportional to 193,298.96, 289,878.91 and 66,904.88 is: 100,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,298.96 : 289,878.91 = 66,904.88 : x
  2. Step 2: Convert to fraction form
    193,298.96/289,878.91 = 66,904.88/x
  3. Step 3: Cross multiply
    193,298.96x = 289,878.91 × 66,904.88
  4. Step 4: Simplify right side
    193,298.96x = 19,394,312,071.42
  5. Step 5: Solve for x
    x = 19,394,312,071.42/193,298.96
  6. Step 6: Final answer
    x = 100,333.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.