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Finding the Fourth Proportional to 202,914.90, 280,030.80 and 112,269.39

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Solution

The fourth proportional to 202,914.90, 280,030.80 and 112,269.39 is: 154,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,914.90 : 280,030.80 = 112,269.39 : x
  2. Step 2: Convert to fraction form
    202,914.90/280,030.80 = 112,269.39/x
  3. Step 3: Cross multiply
    202,914.90x = 280,030.80 × 112,269.39
  4. Step 4: Simplify right side
    202,914.90x = 31,438,887,097.21
  5. Step 5: Solve for x
    x = 31,438,887,097.21/202,914.90
  6. Step 6: Final answer
    x = 154,936.32

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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.