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Finding the Fourth Proportional to 189,888.84, 284,581.76 and 100,950.84

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Solution

The fourth proportional to 189,888.84, 284,581.76 and 100,950.84 is: 151,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,888.84 : 284,581.76 = 100,950.84 : x
  2. Step 2: Convert to fraction form
    189,888.84/284,581.76 = 100,950.84/x
  3. Step 3: Cross multiply
    189,888.84x = 284,581.76 × 100,950.84
  4. Step 4: Simplify right side
    189,888.84x = 28,728,767,215.92
  5. Step 5: Solve for x
    x = 28,728,767,215.92/189,888.84
  6. Step 6: Final answer
    x = 151,292.55

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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.