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Finding the Fourth Proportional to 209,619, 289,279.35 and 114,130.89

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Solution

The fourth proportional to 209,619, 289,279.35 and 114,130.89 is: 157,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,619 : 289,279.35 = 114,130.89 : x
  2. Step 2: Convert to fraction form
    209,619/289,279.35 = 114,130.89/x
  3. Step 3: Cross multiply
    209,619x = 289,279.35 × 114,130.89
  4. Step 4: Simplify right side
    209,619x = 33,015,709,674.12
  5. Step 5: Solve for x
    x = 33,015,709,674.12/209,619
  6. Step 6: Final answer
    x = 157,503.42

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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.