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Finding the Fourth Proportional to 114,080.46, 157,209 and 82,189.14

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Solution

The fourth proportional to 114,080.46, 157,209 and 82,189.14 is: 113,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,080.46 : 157,209 = 82,189.14 : x
  2. Step 2: Convert to fraction form
    114,080.46/157,209 = 82,189.14/x
  3. Step 3: Cross multiply
    114,080.46x = 157,209 × 82,189.14
  4. Step 4: Simplify right side
    114,080.46x = 12,920,872,510.26
  5. Step 5: Solve for x
    x = 12,920,872,510.26/114,080.46
  6. Step 6: Final answer
    x = 113,261.05

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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.