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Finding the Fourth Proportional to 202,407.60, 303,805.80 and 102,680.40

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Solution

The fourth proportional to 202,407.60, 303,805.80 and 102,680.40 is: 154,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,407.60 : 303,805.80 = 102,680.40 : x
  2. Step 2: Convert to fraction form
    202,407.60/303,805.80 = 102,680.40/x
  3. Step 3: Cross multiply
    202,407.60x = 303,805.80 × 102,680.40
  4. Step 4: Simplify right side
    202,407.60x = 31,194,901,066.32
  5. Step 5: Solve for x
    x = 31,194,901,066.32/202,407.60
  6. Step 6: Final answer
    x = 154,119.22

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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.