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Finding the Fourth Proportional to 103,128.40, 154,433.40 and 82,392.40

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Solution

The fourth proportional to 103,128.40, 154,433.40 and 82,392.40 is: 123,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,128.40 : 154,433.40 = 82,392.40 : x
  2. Step 2: Convert to fraction form
    103,128.40/154,433.40 = 82,392.40/x
  3. Step 3: Cross multiply
    103,128.40x = 154,433.40 × 82,392.40
  4. Step 4: Simplify right side
    103,128.40x = 12,724,138,466.16
  5. Step 5: Solve for x
    x = 12,724,138,466.16/103,128.40
  6. Step 6: Final answer
    x = 123,381.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.