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Finding the Fourth Proportional to 209,504.34, 289,116 and 114,008.94

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Solution

The fourth proportional to 209,504.34, 289,116 and 114,008.94 is: 157,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,504.34 : 289,116 = 114,008.94 : x
  2. Step 2: Convert to fraction form
    209,504.34/289,116 = 114,008.94/x
  3. Step 3: Cross multiply
    209,504.34x = 289,116 × 114,008.94
  4. Step 4: Simplify right side
    209,504.34x = 32,961,808,697.04
  5. Step 5: Solve for x
    x = 32,961,808,697.04/209,504.34
  6. Step 6: Final answer
    x = 157,332.34

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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.