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Finding the Fourth Proportional to 316,852.10, 475,136.08 and 188,828.85

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Solution

The fourth proportional to 316,852.10, 475,136.08 and 188,828.85 is: 283,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,852.10 : 475,136.08 = 188,828.85 : x
  2. Step 2: Convert to fraction form
    316,852.10/475,136.08 = 188,828.85/x
  3. Step 3: Cross multiply
    316,852.10x = 475,136.08 × 188,828.85
  4. Step 4: Simplify right side
    316,852.10x = 89,719,396,880.64
  5. Step 5: Solve for x
    x = 89,719,396,880.64/316,852.10
  6. Step 6: Final answer
    x = 283,158.60

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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.