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Finding the Fourth Proportional to 209,884.32, 289,631.88 and 114,388.96

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Solution

The fourth proportional to 209,884.32, 289,631.88 and 114,388.96 is: 157,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,884.32 : 289,631.88 = 114,388.96 : x
  2. Step 2: Convert to fraction form
    209,884.32/289,631.88 = 114,388.96/x
  3. Step 3: Cross multiply
    209,884.32x = 289,631.88 × 114,388.96
  4. Step 4: Simplify right side
    209,884.32x = 33,130,689,536.04
  5. Step 5: Solve for x
    x = 33,130,689,536.04/209,884.32
  6. Step 6: Final answer
    x = 157,852.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.