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Finding the Fourth Proportional to 290,006.27, 434,951.52 and 97,861.92

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Solution

The fourth proportional to 290,006.27, 434,951.52 and 97,861.92 is: 146,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,006.27 : 434,951.52 = 97,861.92 : x
  2. Step 2: Convert to fraction form
    290,006.27/434,951.52 = 97,861.92/x
  3. Step 3: Cross multiply
    290,006.27x = 434,951.52 × 97,861.92
  4. Step 4: Simplify right side
    290,006.27x = 42,565,191,853.14
  5. Step 5: Solve for x
    x = 42,565,191,853.14/290,006.27
  6. Step 6: Final answer
    x = 146,773.35

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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.