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Finding the Fourth Proportional to 201,875.30, 302,484.90 and 168,414.20

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Solution

The fourth proportional to 201,875.30, 302,484.90 and 168,414.20 is: 252,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,875.30 : 302,484.90 = 168,414.20 : x
  2. Step 2: Convert to fraction form
    201,875.30/302,484.90 = 168,414.20/x
  3. Step 3: Cross multiply
    201,875.30x = 302,484.90 × 168,414.20
  4. Step 4: Simplify right side
    201,875.30x = 50,942,752,445.58
  5. Step 5: Solve for x
    x = 50,942,752,445.58/201,875.30
  6. Step 6: Final answer
    x = 252,347.62

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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.