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Finding the Fourth Proportional to 151,594.50, 209,197.58 and 83,617.82

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Solution

The fourth proportional to 151,594.50, 209,197.58 and 83,617.82 is: 115,391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,594.50 : 209,197.58 = 83,617.82 : x
  2. Step 2: Convert to fraction form
    151,594.50/209,197.58 = 83,617.82/x
  3. Step 3: Cross multiply
    151,594.50x = 209,197.58 × 83,617.82
  4. Step 4: Simplify right side
    151,594.50x = 17,492,644,124.80
  5. Step 5: Solve for x
    x = 17,492,644,124.80/151,594.50
  6. Step 6: Final answer
    x = 115,391.02

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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.