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Finding the Fourth Proportional to 210,414.96, 290,360.88 and 119,793

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Solution

The fourth proportional to 210,414.96, 290,360.88 and 119,793 is: 165,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,414.96 : 290,360.88 = 119,793 : x
  2. Step 2: Convert to fraction form
    210,414.96/290,360.88 = 119,793/x
  3. Step 3: Cross multiply
    210,414.96x = 290,360.88 × 119,793
  4. Step 4: Simplify right side
    210,414.96x = 34,783,200,897.84
  5. Step 5: Solve for x
    x = 34,783,200,897.84/210,414.96
  6. Step 6: Final answer
    x = 165,307.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.