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Finding the Fourth Proportional to 209,866.68, 289,616.28 and 114,373.48

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Solution

The fourth proportional to 209,866.68, 289,616.28 and 114,373.48 is: 157,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,866.68 : 289,616.28 = 114,373.48 : x
  2. Step 2: Convert to fraction form
    209,866.68/289,616.28 = 114,373.48/x
  3. Step 3: Cross multiply
    209,866.68x = 289,616.28 × 114,373.48
  4. Step 4: Simplify right side
    209,866.68x = 33,124,421,808.25
  5. Step 5: Solve for x
    x = 33,124,421,808.25/209,866.68
  6. Step 6: Final answer
    x = 157,835.54

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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.