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Finding the Fourth Proportional to 209,493.64, 289,107.30 and 114,006.50

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Solution

The fourth proportional to 209,493.64, 289,107.30 and 114,006.50 is: 157,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,493.64 : 289,107.30 = 114,006.50 : x
  2. Step 2: Convert to fraction form
    209,493.64/289,107.30 = 114,006.50/x
  3. Step 3: Cross multiply
    209,493.64x = 289,107.30 × 114,006.50
  4. Step 4: Simplify right side
    209,493.64x = 32,960,111,397.45
  5. Step 5: Solve for x
    x = 32,960,111,397.45/209,493.64
  6. Step 6: Final answer
    x = 157,332.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.