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Finding the Fourth Proportional to 189,438.48, 261,423.36 and 103,396.62

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Solution

The fourth proportional to 189,438.48, 261,423.36 and 103,396.62 is: 142,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,438.48 : 261,423.36 = 103,396.62 : x
  2. Step 2: Convert to fraction form
    189,438.48/261,423.36 = 103,396.62/x
  3. Step 3: Cross multiply
    189,438.48x = 261,423.36 × 103,396.62
  4. Step 4: Simplify right side
    189,438.48x = 27,030,291,813.04
  5. Step 5: Solve for x
    x = 27,030,291,813.04/189,438.48
  6. Step 6: Final answer
    x = 142,686.38

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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.