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Finding the Fourth Proportional to 209,900.28, 289,666.98 and 114,411.72

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Solution

The fourth proportional to 209,900.28, 289,666.98 and 114,411.72 is: 157,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,900.28 : 289,666.98 = 114,411.72 : x
  2. Step 2: Convert to fraction form
    209,900.28/289,666.98 = 114,411.72/x
  3. Step 3: Cross multiply
    209,900.28x = 289,666.98 × 114,411.72
  4. Step 4: Simplify right side
    209,900.28x = 33,141,297,409.01
  5. Step 5: Solve for x
    x = 33,141,297,409.01/209,900.28
  6. Step 6: Final answer
    x = 157,890.68

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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.