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Finding the Fourth Proportional to 207,754.40, 311,498.76 and 123,492.08

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Solution

The fourth proportional to 207,754.40, 311,498.76 and 123,492.08 is: 185,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,754.40 : 311,498.76 = 123,492.08 : x
  2. Step 2: Convert to fraction form
    207,754.40/311,498.76 = 123,492.08/x
  3. Step 3: Cross multiply
    207,754.40x = 311,498.76 × 123,492.08
  4. Step 4: Simplify right side
    207,754.40x = 38,467,629,789.82
  5. Step 5: Solve for x
    x = 38,467,629,789.82/207,754.40
  6. Step 6: Final answer
    x = 185,159.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.