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Finding the Fourth Proportional to 205,607.60, 283,725.36 and 114,971.04

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Solution

The fourth proportional to 205,607.60, 283,725.36 and 114,971.04 is: 158,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,607.60 : 283,725.36 = 114,971.04 : x
  2. Step 2: Convert to fraction form
    205,607.60/283,725.36 = 114,971.04/x
  3. Step 3: Cross multiply
    205,607.60x = 283,725.36 × 114,971.04
  4. Step 4: Simplify right side
    205,607.60x = 32,620,199,713.57
  5. Step 5: Solve for x
    x = 32,620,199,713.57/205,607.60
  6. Step 6: Final answer
    x = 158,652.69

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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.