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Finding the Fourth Proportional to 189,021.38, 260,848.72 and 102,980.10

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Solution

The fourth proportional to 189,021.38, 260,848.72 and 102,980.10 is: 142,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,021.38 : 260,848.72 = 102,980.10 : x
  2. Step 2: Convert to fraction form
    189,021.38/260,848.72 = 102,980.10/x
  3. Step 3: Cross multiply
    189,021.38x = 260,848.72 × 102,980.10
  4. Step 4: Simplify right side
    189,021.38x = 26,862,225,451.33
  5. Step 5: Solve for x
    x = 26,862,225,451.33/189,021.38
  6. Step 6: Final answer
    x = 142,112.10

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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.