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Finding the Fourth Proportional to 208,434.84, 287,645.44 and 127,906.84

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Solution

The fourth proportional to 208,434.84, 287,645.44 and 127,906.84 is: 176,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,434.84 : 287,645.44 = 127,906.84 : x
  2. Step 2: Convert to fraction form
    208,434.84/287,645.44 = 127,906.84/x
  3. Step 3: Cross multiply
    208,434.84x = 287,645.44 × 127,906.84
  4. Step 4: Simplify right side
    208,434.84x = 36,791,819,270.81
  5. Step 5: Solve for x
    x = 36,791,819,270.81/208,434.84
  6. Step 6: Final answer
    x = 176,514.73

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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.