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Finding the Fourth Proportional to 208,032.96, 286,992.84 and 123,100.84

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Solution

The fourth proportional to 208,032.96, 286,992.84 and 123,100.84 is: 169,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032.96 : 286,992.84 = 123,100.84 : x
  2. Step 2: Convert to fraction form
    208,032.96/286,992.84 = 123,100.84/x
  3. Step 3: Cross multiply
    208,032.96x = 286,992.84 × 123,100.84
  4. Step 4: Simplify right side
    208,032.96x = 35,329,059,677.99
  5. Step 5: Solve for x
    x = 35,329,059,677.99/208,032.96
  6. Step 6: Final answer
    x = 169,824.34

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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.