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Finding the Fourth Proportional to 145,847.30, 204,808.30 and 145,847.30

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Solution

The fourth proportional to 145,847.30, 204,808.30 and 145,847.30 is: 204,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,847.30 : 204,808.30 = 145,847.30 : x
  2. Step 2: Convert to fraction form
    145,847.30/204,808.30 = 145,847.30/x
  3. Step 3: Cross multiply
    145,847.30x = 204,808.30 × 145,847.30
  4. Step 4: Simplify right side
    145,847.30x = 29,870,737,572.59
  5. Step 5: Solve for x
    x = 29,870,737,572.59/145,847.30
  6. Step 6: Final answer
    x = 204,808.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.