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Finding the Fourth Proportional to 189,148.63, 261,021.21 and 103,106.89

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Solution

The fourth proportional to 189,148.63, 261,021.21 and 103,106.89 is: 142,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,148.63 : 261,021.21 = 103,106.89 : x
  2. Step 2: Convert to fraction form
    189,148.63/261,021.21 = 103,106.89/x
  3. Step 3: Cross multiply
    189,148.63x = 261,021.21 × 103,106.89
  4. Step 4: Simplify right side
    189,148.63x = 26,913,085,187.14
  5. Step 5: Solve for x
    x = 26,913,085,187.14/189,148.63
  6. Step 6: Final answer
    x = 142,285.38

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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.