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Finding the Fourth Proportional to 189,769, 261,811.98 and 146,174.76

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Solution

The fourth proportional to 189,769, 261,811.98 and 146,174.76 is: 201,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,769 : 261,811.98 = 146,174.76 : x
  2. Step 2: Convert to fraction form
    189,769/261,811.98 = 146,174.76/x
  3. Step 3: Cross multiply
    189,769x = 261,811.98 × 146,174.76
  4. Step 4: Simplify right side
    189,769x = 38,270,303,341.62
  5. Step 5: Solve for x
    x = 38,270,303,341.62/189,769
  6. Step 6: Final answer
    x = 201,667.83

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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.