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Finding the Fourth Proportional to 209,499.92, 289,108.64 and 114,006.32

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Solution

The fourth proportional to 209,499.92, 289,108.64 and 114,006.32 is: 157,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,499.92 : 289,108.64 = 114,006.32 : x
  2. Step 2: Convert to fraction form
    209,499.92/289,108.64 = 114,006.32/x
  3. Step 3: Cross multiply
    209,499.92x = 289,108.64 × 114,006.32
  4. Step 4: Simplify right side
    209,499.92x = 32,960,212,126.60
  5. Step 5: Solve for x
    x = 32,960,212,126.60/209,499.92
  6. Step 6: Final answer
    x = 157,328.04

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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.