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Finding the Fourth Proportional to 201,862.80, 302,356.80 and 166,870.80

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Solution

The fourth proportional to 201,862.80, 302,356.80 and 166,870.80 is: 249,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862.80 : 302,356.80 = 166,870.80 : x
  2. Step 2: Convert to fraction form
    201,862.80/302,356.80 = 166,870.80/x
  3. Step 3: Cross multiply
    201,862.80x = 302,356.80 × 166,870.80
  4. Step 4: Simplify right side
    201,862.80x = 50,454,521,101.44
  5. Step 5: Solve for x
    x = 50,454,521,101.44/201,862.80
  6. Step 6: Final answer
    x = 249,944.62

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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.