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Finding the Fourth Proportional to 209,914.68, 289,685.28 and 114,421.38

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Solution

The fourth proportional to 209,914.68, 289,685.28 and 114,421.38 is: 157,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,914.68 : 289,685.28 = 114,421.38 : x
  2. Step 2: Convert to fraction form
    209,914.68/289,685.28 = 114,421.38/x
  3. Step 3: Cross multiply
    209,914.68x = 289,685.28 × 114,421.38
  4. Step 4: Simplify right side
    209,914.68x = 33,146,189,503.29
  5. Step 5: Solve for x
    x = 33,146,189,503.29/209,914.68
  6. Step 6: Final answer
    x = 157,903.15

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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.