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Finding the Fourth Proportional to 209,599.02, 289,237.56 and 114,106.04

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Solution

The fourth proportional to 209,599.02, 289,237.56 and 114,106.04 is: 157,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,599.02 : 289,237.56 = 114,106.04 : x
  2. Step 2: Convert to fraction form
    209,599.02/289,237.56 = 114,106.04/x
  3. Step 3: Cross multiply
    209,599.02x = 289,237.56 × 114,106.04
  4. Step 4: Simplify right side
    209,599.02x = 33,003,752,590.86
  5. Step 5: Solve for x
    x = 33,003,752,590.86/209,599.02
  6. Step 6: Final answer
    x = 157,461.39

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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.