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Finding the Fourth Proportional to 209,871.36, 289,615.20 and 114,376.16

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Solution

The fourth proportional to 209,871.36, 289,615.20 and 114,376.16 is: 157,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,871.36 : 289,615.20 = 114,376.16 : x
  2. Step 2: Convert to fraction form
    209,871.36/289,615.20 = 114,376.16/x
  3. Step 3: Cross multiply
    209,871.36x = 289,615.20 × 114,376.16
  4. Step 4: Simplify right side
    209,871.36x = 33,125,074,453.63
  5. Step 5: Solve for x
    x = 33,125,074,453.63/209,871.36
  6. Step 6: Final answer
    x = 157,835.14

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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.