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Finding the Fourth Proportional to 209,841.84, 289,581.75 and 114,348.51

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Solution

The fourth proportional to 209,841.84, 289,581.75 and 114,348.51 is: 157,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,841.84 : 289,581.75 = 114,348.51 : x
  2. Step 2: Convert to fraction form
    209,841.84/289,581.75 = 114,348.51/x
  3. Step 3: Cross multiply
    209,841.84x = 289,581.75 × 114,348.51
  4. Step 4: Simplify right side
    209,841.84x = 33,113,241,635.69
  5. Step 5: Solve for x
    x = 33,113,241,635.69/209,841.84
  6. Step 6: Final answer
    x = 157,800.95

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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.