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Finding the Fourth Proportional to 209,509.66, 289,124.22 and 114,016.24

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Solution

The fourth proportional to 209,509.66, 289,124.22 and 114,016.24 is: 157,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,509.66 : 289,124.22 = 114,016.24 : x
  2. Step 2: Convert to fraction form
    209,509.66/289,124.22 = 114,016.24/x
  3. Step 3: Cross multiply
    209,509.66x = 289,124.22 × 114,016.24
  4. Step 4: Simplify right side
    209,509.66x = 32,964,856,457.33
  5. Step 5: Solve for x
    x = 32,964,856,457.33/209,509.66
  6. Step 6: Final answer
    x = 157,342.90

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1.5x scale

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.