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Finding the Fourth Proportional to 209,065.84, 288,509.27 and 113,573.21

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Solution

The fourth proportional to 209,065.84, 288,509.27 and 113,573.21 is: 156,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,065.84 : 288,509.27 = 113,573.21 : x
  2. Step 2: Convert to fraction form
    209,065.84/288,509.27 = 113,573.21/x
  3. Step 3: Cross multiply
    209,065.84x = 288,509.27 × 113,573.21
  4. Step 4: Simplify right side
    209,065.84x = 32,766,924,062.06
  5. Step 5: Solve for x
    x = 32,766,924,062.06/209,065.84
  6. Step 6: Final answer
    x = 156,730.17

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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.