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Finding the Fourth Proportional to 189,000.16, 283,401.84 and 70,574.12

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Solution

The fourth proportional to 189,000.16, 283,401.84 and 70,574.12 is: 105,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,000.16 : 283,401.84 = 70,574.12 : x
  2. Step 2: Convert to fraction form
    189,000.16/283,401.84 = 70,574.12/x
  3. Step 3: Cross multiply
    189,000.16x = 283,401.84 × 70,574.12
  4. Step 4: Simplify right side
    189,000.16x = 20,000,835,464.38
  5. Step 5: Solve for x
    x = 20,000,835,464.38/189,000.16
  6. Step 6: Final answer
    x = 105,824.44

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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.