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Finding the Fourth Proportional to 151,713.84, 209,267.64 and 92,097.84

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Solution

The fourth proportional to 151,713.84, 209,267.64 and 92,097.84 is: 127,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,713.84 : 209,267.64 = 92,097.84 : x
  2. Step 2: Convert to fraction form
    151,713.84/209,267.64 = 92,097.84/x
  3. Step 3: Cross multiply
    151,713.84x = 209,267.64 × 92,097.84
  4. Step 4: Simplify right side
    151,713.84x = 19,273,097,625.90
  5. Step 5: Solve for x
    x = 19,273,097,625.90/151,713.84
  6. Step 6: Final answer
    x = 127,035.86

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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.