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Finding the Fourth Proportional to 209,624.71, 289,274.34 and 114,129.49

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Solution

The fourth proportional to 209,624.71, 289,274.34 and 114,129.49 is: 157,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,624.71 : 289,274.34 = 114,129.49 : x
  2. Step 2: Convert to fraction form
    209,624.71/289,274.34 = 114,129.49/x
  3. Step 3: Cross multiply
    209,624.71x = 289,274.34 × 114,129.49
  4. Step 4: Simplify right side
    209,624.71x = 33,014,732,894.29
  5. Step 5: Solve for x
    x = 33,014,732,894.29/209,624.71
  6. Step 6: Final answer
    x = 157,494.47

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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.