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Finding the Fourth Proportional to 151,909.36, 209,647.20 and 83,932.32

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Solution

The fourth proportional to 151,909.36, 209,647.20 and 83,932.32 is: 115,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,909.36 : 209,647.20 = 83,932.32 : x
  2. Step 2: Convert to fraction form
    151,909.36/209,647.20 = 83,932.32/x
  3. Step 3: Cross multiply
    151,909.36x = 209,647.20 × 83,932.32
  4. Step 4: Simplify right side
    151,909.36x = 17,596,175,877.50
  5. Step 5: Solve for x
    x = 17,596,175,877.50/151,909.36
  6. Step 6: Final answer
    x = 115,833.39

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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.