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Finding the Fourth Proportional to 201,665.45, 302,498.27 and 83,206.59

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Solution

The fourth proportional to 201,665.45, 302,498.27 and 83,206.59 is: 124,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,665.45 : 302,498.27 = 83,206.59 : x
  2. Step 2: Convert to fraction form
    201,665.45/302,498.27 = 83,206.59/x
  3. Step 3: Cross multiply
    201,665.45x = 302,498.27 × 83,206.59
  4. Step 4: Simplify right side
    201,665.45x = 25,169,849,527.60
  5. Step 5: Solve for x
    x = 25,169,849,527.60/201,665.45
  6. Step 6: Final answer
    x = 124,809.92

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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.