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Finding the Fourth Proportional to 209,800.67, 289,521.27 and 114,308.06

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Solution

The fourth proportional to 209,800.67, 289,521.27 and 114,308.06 is: 157,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,800.67 : 289,521.27 = 114,308.06 : x
  2. Step 2: Convert to fraction form
    209,800.67/289,521.27 = 114,308.06/x
  3. Step 3: Cross multiply
    209,800.67x = 289,521.27 × 114,308.06
  4. Step 4: Simplify right side
    209,800.67x = 33,094,613,254.83
  5. Step 5: Solve for x
    x = 33,094,613,254.83/209,800.67
  6. Step 6: Final answer
    x = 157,743.13

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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.