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Finding the Fourth Proportional to 201,876.18, 302,815.41 and 52,106.23

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Solution

The fourth proportional to 201,876.18, 302,815.41 and 52,106.23 is: 78,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,876.18 : 302,815.41 = 52,106.23 : x
  2. Step 2: Convert to fraction form
    201,876.18/302,815.41 = 52,106.23/x
  3. Step 3: Cross multiply
    201,876.18x = 302,815.41 × 52,106.23
  4. Step 4: Simplify right side
    201,876.18x = 15,778,569,401.00
  5. Step 5: Solve for x
    x = 15,778,569,401.00/201,876.18
  6. Step 6: Final answer
    x = 78,159.64

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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.