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Finding the Fourth Proportional to 209,887.40, 289,650.93 and 114,400.28

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Solution

The fourth proportional to 209,887.40, 289,650.93 and 114,400.28 is: 157,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,887.40 : 289,650.93 = 114,400.28 : x
  2. Step 2: Convert to fraction form
    209,887.40/289,650.93 = 114,400.28/x
  3. Step 3: Cross multiply
    209,887.40x = 289,650.93 × 114,400.28
  4. Step 4: Simplify right side
    209,887.40x = 33,136,147,494.26
  5. Step 5: Solve for x
    x = 33,136,147,494.26/209,887.40
  6. Step 6: Final answer
    x = 157,875.83

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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.