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Finding the Fourth Proportional to 209,851.34, 289,594.89 and 114,358.05

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Solution

The fourth proportional to 209,851.34, 289,594.89 and 114,358.05 is: 157,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,851.34 : 289,594.89 = 114,358.05 : x
  2. Step 2: Convert to fraction form
    209,851.34/289,594.89 = 114,358.05/x
  3. Step 3: Cross multiply
    209,851.34x = 289,594.89 × 114,358.05
  4. Step 4: Simplify right side
    209,851.34x = 33,117,506,910.36
  5. Step 5: Solve for x
    x = 33,117,506,910.36/209,851.34
  6. Step 6: Final answer
    x = 157,814.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.