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Finding the Fourth Proportional to 209,508.42, 289,121.88 and 114,015.06

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Solution

The fourth proportional to 209,508.42, 289,121.88 and 114,015.06 is: 157,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,508.42 : 289,121.88 = 114,015.06 : x
  2. Step 2: Convert to fraction form
    209,508.42/289,121.88 = 114,015.06/x
  3. Step 3: Cross multiply
    209,508.42x = 289,121.88 × 114,015.06
  4. Step 4: Simplify right side
    209,508.42x = 32,964,248,495.51
  5. Step 5: Solve for x
    x = 32,964,248,495.51/209,508.42
  6. Step 6: Final answer
    x = 157,340.92

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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.