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Finding the Fourth Proportional to 151,521, 209,100.18 and 83,540.40

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Solution

The fourth proportional to 151,521, 209,100.18 and 83,540.40 is: 115,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,521 : 209,100.18 = 83,540.40 : x
  2. Step 2: Convert to fraction form
    151,521/209,100.18 = 83,540.40/x
  3. Step 3: Cross multiply
    151,521x = 209,100.18 × 83,540.40
  4. Step 4: Simplify right side
    151,521x = 17,468,312,677.27
  5. Step 5: Solve for x
    x = 17,468,312,677.27/151,521
  6. Step 6: Final answer
    x = 115,286.41

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