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Finding the Fourth Proportional to 209,513.36, 289,134.50 and 114,026.11

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Solution

The fourth proportional to 209,513.36, 289,134.50 and 114,026.11 is: 157,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,513.36 : 289,134.50 = 114,026.11 : x
  2. Step 2: Convert to fraction form
    209,513.36/289,134.50 = 114,026.11/x
  3. Step 3: Cross multiply
    209,513.36x = 289,134.50 × 114,026.11
  4. Step 4: Simplify right side
    209,513.36x = 32,968,881,008.83
  5. Step 5: Solve for x
    x = 32,968,881,008.83/209,513.36
  6. Step 6: Final answer
    x = 157,359.32

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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.