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Finding the Fourth Proportional to 209,803.68, 289,525.40 and 114,311.06

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Solution

The fourth proportional to 209,803.68, 289,525.40 and 114,311.06 is: 157,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,803.68 : 289,525.40 = 114,311.06 : x
  2. Step 2: Convert to fraction form
    209,803.68/289,525.40 = 114,311.06/x
  3. Step 3: Cross multiply
    209,803.68x = 289,525.40 × 114,311.06
  4. Step 4: Simplify right side
    209,803.68x = 33,095,955,370.92
  5. Step 5: Solve for x
    x = 33,095,955,370.92/209,803.68
  6. Step 6: Final answer
    x = 157,747.26

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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.