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Finding the Fourth Proportional to 151,650.54, 209,281.75 and 83,668.40

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Solution

The fourth proportional to 151,650.54, 209,281.75 and 83,668.40 is: 115,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,650.54 : 209,281.75 = 83,668.40 : x
  2. Step 2: Convert to fraction form
    151,650.54/209,281.75 = 83,668.40/x
  3. Step 3: Cross multiply
    151,650.54x = 209,281.75 × 83,668.40
  4. Step 4: Simplify right side
    151,650.54x = 17,510,269,171.70
  5. Step 5: Solve for x
    x = 17,510,269,171.70/151,650.54
  6. Step 6: Final answer
    x = 115,464.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.