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Finding the Fourth Proportional to 286,233, 429,349.52 and 89,241

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Solution

The fourth proportional to 286,233, 429,349.52 and 89,241 is: 133,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,233 : 429,349.52 = 89,241 : x
  2. Step 2: Convert to fraction form
    286,233/429,349.52 = 89,241/x
  3. Step 3: Cross multiply
    286,233x = 429,349.52 × 89,241
  4. Step 4: Simplify right side
    286,233x = 38,315,580,514.32
  5. Step 5: Solve for x
    x = 38,315,580,514.32/286,233
  6. Step 6: Final answer
    x = 133,861.51

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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.