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Finding the Fourth Proportional to 209,854.39, 289,590.63 and 114,359.04

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Solution

The fourth proportional to 209,854.39, 289,590.63 and 114,359.04 is: 157,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854.39 : 289,590.63 = 114,359.04 : x
  2. Step 2: Convert to fraction form
    209,854.39/289,590.63 = 114,359.04/x
  3. Step 3: Cross multiply
    209,854.39x = 289,590.63 × 114,359.04
  4. Step 4: Simplify right side
    209,854.39x = 33,117,304,420.05
  5. Step 5: Solve for x
    x = 33,117,304,420.05/209,854.39
  6. Step 6: Final answer
    x = 157,810.87

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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.