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Finding the Fourth Proportional to 382,133.70, 573,205.95 and 145,489.32

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Solution

The fourth proportional to 382,133.70, 573,205.95 and 145,489.32 is: 218,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,133.70 : 573,205.95 = 145,489.32 : x
  2. Step 2: Convert to fraction form
    382,133.70/573,205.95 = 145,489.32/x
  3. Step 3: Cross multiply
    382,133.70x = 573,205.95 × 145,489.32
  4. Step 4: Simplify right side
    382,133.70x = 83,395,343,885.45
  5. Step 5: Solve for x
    x = 83,395,343,885.45/382,133.70
  6. Step 6: Final answer
    x = 218,236.04

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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.