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Finding the Fourth Proportional to 204,886.63, 282,742.50 and 118,863.01

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Solution

The fourth proportional to 204,886.63, 282,742.50 and 118,863.01 is: 164,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,886.63 : 282,742.50 = 118,863.01 : x
  2. Step 2: Convert to fraction form
    204,886.63/282,742.50 = 118,863.01/x
  3. Step 3: Cross multiply
    204,886.63x = 282,742.50 × 118,863.01
  4. Step 4: Simplify right side
    204,886.63x = 33,607,624,604.93
  5. Step 5: Solve for x
    x = 33,607,624,604.93/204,886.63
  6. Step 6: Final answer
    x = 164,030.35

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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.