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Finding the Fourth Proportional to 209,854.34, 289,599.04 and 114,361.06

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Solution

The fourth proportional to 209,854.34, 289,599.04 and 114,361.06 is: 157,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854.34 : 289,599.04 = 114,361.06 : x
  2. Step 2: Convert to fraction form
    209,854.34/289,599.04 = 114,361.06/x
  3. Step 3: Cross multiply
    209,854.34x = 289,599.04 × 114,361.06
  4. Step 4: Simplify right side
    209,854.34x = 33,118,853,189.38
  5. Step 5: Solve for x
    x = 33,118,853,189.38/209,854.34
  6. Step 6: Final answer
    x = 157,818.29

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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.