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Finding the Fourth Proportional to 145,772.80, 218,756.40 and 66,846.40

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Solution

The fourth proportional to 145,772.80, 218,756.40 and 66,846.40 is: 100,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,772.80 : 218,756.40 = 66,846.40 : x
  2. Step 2: Convert to fraction form
    145,772.80/218,756.40 = 66,846.40/x
  3. Step 3: Cross multiply
    145,772.80x = 218,756.40 × 66,846.40
  4. Step 4: Simplify right side
    145,772.80x = 14,623,077,816.96
  5. Step 5: Solve for x
    x = 14,623,077,816.96/145,772.80
  6. Step 6: Final answer
    x = 100,314.17

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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.