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Finding the Fourth Proportional to 189,758.16, 284,637.24 and 65,100.24

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Solution

The fourth proportional to 189,758.16, 284,637.24 and 65,100.24 is: 97,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,758.16 : 284,637.24 = 65,100.24 : x
  2. Step 2: Convert to fraction form
    189,758.16/284,637.24 = 65,100.24/x
  3. Step 3: Cross multiply
    189,758.16x = 284,637.24 × 65,100.24
  4. Step 4: Simplify right side
    189,758.16x = 18,529,952,636.94
  5. Step 5: Solve for x
    x = 18,529,952,636.94/189,758.16
  6. Step 6: Final answer
    x = 97,650.36

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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.