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Finding the Fourth Proportional to 103,206.40, 154,809.60 and 82,470.40

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Solution

The fourth proportional to 103,206.40, 154,809.60 and 82,470.40 is: 123,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,206.40 : 154,809.60 = 82,470.40 : x
  2. Step 2: Convert to fraction form
    103,206.40/154,809.60 = 82,470.40/x
  3. Step 3: Cross multiply
    103,206.40x = 154,809.60 × 82,470.40
  4. Step 4: Simplify right side
    103,206.40x = 12,767,209,635.84
  5. Step 5: Solve for x
    x = 12,767,209,635.84/103,206.40
  6. Step 6: Final answer
    x = 123,705.60

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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.