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Finding the Fourth Proportional to 145,764.80, 218,744.40 and 66,838.40

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Solution

The fourth proportional to 145,764.80, 218,744.40 and 66,838.40 is: 100,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,764.80 : 218,744.40 = 66,838.40 : x
  2. Step 2: Convert to fraction form
    145,764.80/218,744.40 = 66,838.40/x
  3. Step 3: Cross multiply
    145,764.80x = 218,744.40 × 66,838.40
  4. Step 4: Simplify right side
    145,764.80x = 14,620,525,704.96
  5. Step 5: Solve for x
    x = 14,620,525,704.96/145,764.80
  6. Step 6: Final answer
    x = 100,302.17

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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.