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Finding the Fourth Proportional to 209,394.63, 288,966.84 and 113,901.57

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Solution

The fourth proportional to 209,394.63, 288,966.84 and 113,901.57 is: 157,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,394.63 : 288,966.84 = 113,901.57 : x
  2. Step 2: Convert to fraction form
    209,394.63/288,966.84 = 113,901.57/x
  3. Step 3: Cross multiply
    209,394.63x = 288,966.84 × 113,901.57
  4. Step 4: Simplify right side
    209,394.63x = 32,913,776,753.94
  5. Step 5: Solve for x
    x = 32,913,776,753.94/209,394.63
  6. Step 6: Final answer
    x = 157,185.39

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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.