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Finding the Fourth Proportional to 189,852.84, 284,778.90 and 77,585.76

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Solution

The fourth proportional to 189,852.84, 284,778.90 and 77,585.76 is: 116,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,852.84 : 284,778.90 = 77,585.76 : x
  2. Step 2: Convert to fraction form
    189,852.84/284,778.90 = 77,585.76/x
  3. Step 3: Cross multiply
    189,852.84x = 284,778.90 × 77,585.76
  4. Step 4: Simplify right side
    189,852.84x = 22,094,787,388.46
  5. Step 5: Solve for x
    x = 22,094,787,388.46/189,852.84
  6. Step 6: Final answer
    x = 116,378.49

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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.