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Finding the Fourth Proportional to 201,510.80, 301,828.80 and 166,518.80

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Solution

The fourth proportional to 201,510.80, 301,828.80 and 166,518.80 is: 249,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,510.80 : 301,828.80 = 166,518.80 : x
  2. Step 2: Convert to fraction form
    201,510.80/301,828.80 = 166,518.80/x
  3. Step 3: Cross multiply
    201,510.80x = 301,828.80 × 166,518.80
  4. Step 4: Simplify right side
    201,510.80x = 50,260,169,581.44
  5. Step 5: Solve for x
    x = 50,260,169,581.44/201,510.80
  6. Step 6: Final answer
    x = 249,416.75

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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.