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Finding the Fourth Proportional to 209,855.89, 289,592.69 and 114,360.53

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Solution

The fourth proportional to 209,855.89, 289,592.69 and 114,360.53 is: 157,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,855.89 : 289,592.69 = 114,360.53 : x
  2. Step 2: Convert to fraction form
    209,855.89/289,592.69 = 114,360.53/x
  3. Step 3: Cross multiply
    209,855.89x = 289,592.69 × 114,360.53
  4. Step 4: Simplify right side
    209,855.89x = 33,117,973,512.53
  5. Step 5: Solve for x
    x = 33,117,973,512.53/209,855.89
  6. Step 6: Final answer
    x = 157,812.93

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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.