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Finding the Fourth Proportional to 209,606.56, 289,258.80 and 114,113.92

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Solution

The fourth proportional to 209,606.56, 289,258.80 and 114,113.92 is: 157,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,606.56 : 289,258.80 = 114,113.92 : x
  2. Step 2: Convert to fraction form
    209,606.56/289,258.80 = 114,113.92/x
  3. Step 3: Cross multiply
    209,606.56x = 289,258.80 × 114,113.92
  4. Step 4: Simplify right side
    209,606.56x = 33,008,455,562.50
  5. Step 5: Solve for x
    x = 33,008,455,562.50/209,606.56
  6. Step 6: Final answer
    x = 157,478.16

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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.