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Finding the Fourth Proportional to 188,551.63, 260,206.17 and 102,516.40

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Solution

The fourth proportional to 188,551.63, 260,206.17 and 102,516.40 is: 141,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,551.63 : 260,206.17 = 102,516.40 : x
  2. Step 2: Convert to fraction form
    188,551.63/260,206.17 = 102,516.40/x
  3. Step 3: Cross multiply
    188,551.63x = 260,206.17 × 102,516.40
  4. Step 4: Simplify right side
    188,551.63x = 26,675,398,505.16
  5. Step 5: Solve for x
    x = 26,675,398,505.16/188,551.63
  6. Step 6: Final answer
    x = 141,475.30

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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.