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Finding the Fourth Proportional to 209,495.76, 289,103.40 and 114,000.72

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Solution

The fourth proportional to 209,495.76, 289,103.40 and 114,000.72 is: 157,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,495.76 : 289,103.40 = 114,000.72 : x
  2. Step 2: Convert to fraction form
    209,495.76/289,103.40 = 114,000.72/x
  3. Step 3: Cross multiply
    209,495.76x = 289,103.40 × 114,000.72
  4. Step 4: Simplify right side
    209,495.76x = 32,957,995,754.45
  5. Step 5: Solve for x
    x = 32,957,995,754.45/209,495.76
  6. Step 6: Final answer
    x = 157,320.59

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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.