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Finding the Fourth Proportional to 145,768.80, 218,750.40 and 66,842.40

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Solution

The fourth proportional to 145,768.80, 218,750.40 and 66,842.40 is: 100,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,768.80 : 218,750.40 = 66,842.40 : x
  2. Step 2: Convert to fraction form
    145,768.80/218,750.40 = 66,842.40/x
  3. Step 3: Cross multiply
    145,768.80x = 218,750.40 × 66,842.40
  4. Step 4: Simplify right side
    145,768.80x = 14,621,801,736.96
  5. Step 5: Solve for x
    x = 14,621,801,736.96/145,768.80
  6. Step 6: Final answer
    x = 100,308.17

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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.