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Finding the Fourth Proportional to 207,602.26, 311,403.38 and 83,030.74

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Solution

The fourth proportional to 207,602.26, 311,403.38 and 83,030.74 is: 124,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,602.26 : 311,403.38 = 83,030.74 : x
  2. Step 2: Convert to fraction form
    207,602.26/311,403.38 = 83,030.74/x
  3. Step 3: Cross multiply
    207,602.26x = 311,403.38 × 83,030.74
  4. Step 4: Simplify right side
    207,602.26x = 25,856,053,079.90
  5. Step 5: Solve for x
    x = 25,856,053,079.90/207,602.26
  6. Step 6: Final answer
    x = 124,546.11

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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.