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Finding the Fourth Proportional to 225,549.86, 311,210.36 and 133,698.10

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Solution

The fourth proportional to 225,549.86, 311,210.36 and 133,698.10 is: 184,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,549.86 : 311,210.36 = 133,698.10 : x
  2. Step 2: Convert to fraction form
    225,549.86/311,210.36 = 133,698.10/x
  3. Step 3: Cross multiply
    225,549.86x = 311,210.36 × 133,698.10
  4. Step 4: Simplify right side
    225,549.86x = 41,608,233,163.83
  5. Step 5: Solve for x
    x = 41,608,233,163.83/225,549.86
  6. Step 6: Final answer
    x = 184,474.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.