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Finding the Fourth Proportional to 151,817.80, 209,503.20 and 83,833.60

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Solution

The fourth proportional to 151,817.80, 209,503.20 and 83,833.60 is: 115,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,817.80 : 209,503.20 = 83,833.60 : x
  2. Step 2: Convert to fraction form
    151,817.80/209,503.20 = 83,833.60/x
  3. Step 3: Cross multiply
    151,817.80x = 209,503.20 × 83,833.60
  4. Step 4: Simplify right side
    151,817.80x = 17,563,407,467.52
  5. Step 5: Solve for x
    x = 17,563,407,467.52/151,817.80
  6. Step 6: Final answer
    x = 115,687.41

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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.