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Finding the Fourth Proportional to 209,662.50, 289,346.43 and 157,886.91

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Solution

The fourth proportional to 209,662.50, 289,346.43 and 157,886.91 is: 217,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,662.50 : 289,346.43 = 157,886.91 : x
  2. Step 2: Convert to fraction form
    209,662.50/289,346.43 = 157,886.91/x
  3. Step 3: Cross multiply
    209,662.50x = 289,346.43 × 157,886.91
  4. Step 4: Simplify right side
    209,662.50x = 45,684,013,752.23
  5. Step 5: Solve for x
    x = 45,684,013,752.23/209,662.50
  6. Step 6: Final answer
    x = 217,893.11

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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.