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Finding the Fourth Proportional to 209,701.61, 289,388.55 and 114,208.68

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Solution

The fourth proportional to 209,701.61, 289,388.55 and 114,208.68 is: 157,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,701.61 : 289,388.55 = 114,208.68 : x
  2. Step 2: Convert to fraction form
    209,701.61/289,388.55 = 114,208.68/x
  3. Step 3: Cross multiply
    209,701.61x = 289,388.55 × 114,208.68
  4. Step 4: Simplify right side
    209,701.61x = 33,050,685,173.68
  5. Step 5: Solve for x
    x = 33,050,685,173.68/209,701.61
  6. Step 6: Final answer
    x = 157,608.16

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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.