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Finding the Fourth Proportional to 209,697.83, 289,381.01 and 114,206.12

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Solution

The fourth proportional to 209,697.83, 289,381.01 and 114,206.12 is: 157,603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,697.83 : 289,381.01 = 114,206.12 : x
  2. Step 2: Convert to fraction form
    209,697.83/289,381.01 = 114,206.12/x
  3. Step 3: Cross multiply
    209,697.83x = 289,381.01 × 114,206.12
  4. Step 4: Simplify right side
    209,697.83x = 33,049,080,335.85
  5. Step 5: Solve for x
    x = 33,049,080,335.85/209,697.83
  6. Step 6: Final answer
    x = 157,603.35

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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.