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Finding the Fourth Proportional to 189,094.80, 283,642.20 and 154,102.80

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Solution

The fourth proportional to 189,094.80, 283,642.20 and 154,102.80 is: 231,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,094.80 : 283,642.20 = 154,102.80 : x
  2. Step 2: Convert to fraction form
    189,094.80/283,642.20 = 154,102.80/x
  3. Step 3: Cross multiply
    189,094.80x = 283,642.20 × 154,102.80
  4. Step 4: Simplify right side
    189,094.80x = 43,710,057,218.16
  5. Step 5: Solve for x
    x = 43,710,057,218.16/189,094.80
  6. Step 6: Final answer
    x = 231,154.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.