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Finding the Fourth Proportional to 189,321, 261,267.89 and 103,281.39

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Solution

The fourth proportional to 189,321, 261,267.89 and 103,281.39 is: 142,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,321 : 261,267.89 = 103,281.39 : x
  2. Step 2: Convert to fraction form
    189,321/261,267.89 = 103,281.39/x
  3. Step 3: Cross multiply
    189,321x = 261,267.89 × 103,281.39
  4. Step 4: Simplify right side
    189,321x = 26,984,110,325.16
  5. Step 5: Solve for x
    x = 26,984,110,325.16/189,321
  6. Step 6: Final answer
    x = 142,530.99

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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.