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Finding the Fourth Proportional to 208,053.40, 312,080.10 and 202,221.40

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Solution

The fourth proportional to 208,053.40, 312,080.10 and 202,221.40 is: 303,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,053.40 : 312,080.10 = 202,221.40 : x
  2. Step 2: Convert to fraction form
    208,053.40/312,080.10 = 202,221.40/x
  3. Step 3: Cross multiply
    208,053.40x = 312,080.10 × 202,221.40
  4. Step 4: Simplify right side
    208,053.40x = 63,109,274,734.14
  5. Step 5: Solve for x
    x = 63,109,274,734.14/208,053.40
  6. Step 6: Final answer
    x = 303,332.10

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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.