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Finding the Fourth Proportional to 209,750.37, 289,459.98 and 114,256.86

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Solution

The fourth proportional to 209,750.37, 289,459.98 and 114,256.86 is: 157,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,750.37 : 289,459.98 = 114,256.86 : x
  2. Step 2: Convert to fraction form
    209,750.37/289,459.98 = 114,256.86/x
  3. Step 3: Cross multiply
    209,750.37x = 289,459.98 × 114,256.86
  4. Step 4: Simplify right side
    209,750.37x = 33,072,788,410.46
  5. Step 5: Solve for x
    x = 33,072,788,410.46/209,750.37
  6. Step 6: Final answer
    x = 157,676.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.