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Finding the Fourth Proportional to 209,792.12, 289,513.16 and 114,298.82

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Solution

The fourth proportional to 209,792.12, 289,513.16 and 114,298.82 is: 157,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792.12 : 289,513.16 = 114,298.82 : x
  2. Step 2: Convert to fraction form
    209,792.12/289,513.16 = 114,298.82/x
  3. Step 3: Cross multiply
    209,792.12x = 289,513.16 × 114,298.82
  4. Step 4: Simplify right side
    209,792.12x = 33,091,011,838.69
  5. Step 5: Solve for x
    x = 33,091,011,838.69/209,792.12
  6. Step 6: Final answer
    x = 157,732.39

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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.