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Finding the Fourth Proportional to 189,369.63, 284,005.53 and 56,219.76

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Solution

The fourth proportional to 189,369.63, 284,005.53 and 56,219.76 is: 84,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,369.63 : 284,005.53 = 56,219.76 : x
  2. Step 2: Convert to fraction form
    189,369.63/284,005.53 = 56,219.76/x
  3. Step 3: Cross multiply
    189,369.63x = 284,005.53 × 56,219.76
  4. Step 4: Simplify right side
    189,369.63x = 15,966,722,735.27
  5. Step 5: Solve for x
    x = 15,966,722,735.27/189,369.63
  6. Step 6: Final answer
    x = 84,315.12

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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.