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Finding the Fourth Proportional to 204,652.44, 282,420.81 and 118,628.01

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Solution

The fourth proportional to 204,652.44, 282,420.81 and 118,628.01 is: 163,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,652.44 : 282,420.81 = 118,628.01 : x
  2. Step 2: Convert to fraction form
    204,652.44/282,420.81 = 118,628.01/x
  3. Step 3: Cross multiply
    204,652.44x = 282,420.81 × 118,628.01
  4. Step 4: Simplify right side
    204,652.44x = 33,503,018,672.89
  5. Step 5: Solve for x
    x = 33,503,018,672.89/204,652.44
  6. Step 6: Final answer
    x = 163,706.91

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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.