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Finding the Fourth Proportional to 382,037, 573,055.50 and 119,381

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Solution

The fourth proportional to 382,037, 573,055.50 and 119,381 is: 179,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,037 : 573,055.50 = 119,381 : x
  2. Step 2: Convert to fraction form
    382,037/573,055.50 = 119,381/x
  3. Step 3: Cross multiply
    382,037x = 573,055.50 × 119,381
  4. Step 4: Simplify right side
    382,037x = 68,411,938,645.50
  5. Step 5: Solve for x
    x = 68,411,938,645.50/382,037
  6. Step 6: Final answer
    x = 179,071.50

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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.