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Finding the Fourth Proportional to 209,923.44, 289,688.56 and 114,432

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Solution

The fourth proportional to 209,923.44, 289,688.56 and 114,432 is: 157,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,923.44 : 289,688.56 = 114,432 : x
  2. Step 2: Convert to fraction form
    209,923.44/289,688.56 = 114,432/x
  3. Step 3: Cross multiply
    209,923.44x = 289,688.56 × 114,432
  4. Step 4: Simplify right side
    209,923.44x = 33,149,641,297.92
  5. Step 5: Solve for x
    x = 33,149,641,297.92/209,923.44
  6. Step 6: Final answer
    x = 157,913.01

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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.