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Finding the Fourth Proportional to 201,637.70, 302,456.55 and 164,312.90

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Solution

The fourth proportional to 201,637.70, 302,456.55 and 164,312.90 is: 246,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,637.70 : 302,456.55 = 164,312.90 : x
  2. Step 2: Convert to fraction form
    201,637.70/302,456.55 = 164,312.90/x
  3. Step 3: Cross multiply
    201,637.70x = 302,456.55 × 164,312.90
  4. Step 4: Simplify right side
    201,637.70x = 49,697,512,854.50
  5. Step 5: Solve for x
    x = 49,697,512,854.50/201,637.70
  6. Step 6: Final answer
    x = 246,469.35

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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.