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Finding the Fourth Proportional to 209,760.16, 289,465.68 and 114,268

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Solution

The fourth proportional to 209,760.16, 289,465.68 and 114,268 is: 157,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,760.16 : 289,465.68 = 114,268 : x
  2. Step 2: Convert to fraction form
    209,760.16/289,465.68 = 114,268/x
  3. Step 3: Cross multiply
    209,760.16x = 289,465.68 × 114,268
  4. Step 4: Simplify right side
    209,760.16x = 33,076,664,322.24
  5. Step 5: Solve for x
    x = 33,076,664,322.24/209,760.16
  6. Step 6: Final answer
    x = 157,688.02

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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.