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Finding the Fourth Proportional to 205,783.60, 308,733.84 and 65,553.04

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Solution

The fourth proportional to 205,783.60, 308,733.84 and 65,553.04 is: 98,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,783.60 : 308,733.84 = 65,553.04 : x
  2. Step 2: Convert to fraction form
    205,783.60/308,733.84 = 65,553.04/x
  3. Step 3: Cross multiply
    205,783.60x = 308,733.84 × 65,553.04
  4. Step 4: Simplify right side
    205,783.60x = 20,238,441,762.87
  5. Step 5: Solve for x
    x = 20,238,441,762.87/205,783.60
  6. Step 6: Final answer
    x = 98,348.18

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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.