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Finding the Fourth Proportional to 189,065.61, 283,518.23 and 70,654.14

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Solution

The fourth proportional to 189,065.61, 283,518.23 and 70,654.14 is: 105,951.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,065.61 : 283,518.23 = 70,654.14 : x
  2. Step 2: Convert to fraction form
    189,065.61/283,518.23 = 70,654.14/x
  3. Step 3: Cross multiply
    189,065.61x = 283,518.23 × 70,654.14
  4. Step 4: Simplify right side
    189,065.61x = 20,031,736,361.70
  5. Step 5: Solve for x
    x = 20,031,736,361.70/189,065.61
  6. Step 6: Final answer
    x = 105,951.24

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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.