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Finding the Fourth Proportional to 209,632.64, 289,298.56 and 114,143.36

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Solution

The fourth proportional to 209,632.64, 289,298.56 and 114,143.36 is: 157,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,632.64 : 289,298.56 = 114,143.36 : x
  2. Step 2: Convert to fraction form
    209,632.64/289,298.56 = 114,143.36/x
  3. Step 3: Cross multiply
    209,632.64x = 289,298.56 × 114,143.36
  4. Step 4: Simplify right side
    209,632.64x = 33,021,509,681.56
  5. Step 5: Solve for x
    x = 33,021,509,681.56/209,632.64
  6. Step 6: Final answer
    x = 157,520.84

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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.