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Finding the Fourth Proportional to 114,189.81, 171,302.01 and 82,836.47

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Solution

The fourth proportional to 114,189.81, 171,302.01 and 82,836.47 is: 124,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,189.81 : 171,302.01 = 82,836.47 : x
  2. Step 2: Convert to fraction form
    114,189.81/171,302.01 = 82,836.47/x
  3. Step 3: Cross multiply
    114,189.81x = 171,302.01 × 82,836.47
  4. Step 4: Simplify right side
    114,189.81x = 14,190,052,955.79
  5. Step 5: Solve for x
    x = 14,190,052,955.79/114,189.81
  6. Step 6: Final answer
    x = 124,267.24

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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.