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Finding the Fourth Proportional to 201,787.30, 302,698.37 and 52,026.30

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Solution

The fourth proportional to 201,787.30, 302,698.37 and 52,026.30 is: 78,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,787.30 : 302,698.37 = 52,026.30 : x
  2. Step 2: Convert to fraction form
    201,787.30/302,698.37 = 52,026.30/x
  3. Step 3: Cross multiply
    201,787.30x = 302,698.37 × 52,026.30
  4. Step 4: Simplify right side
    201,787.30x = 15,748,276,044.55
  5. Step 5: Solve for x
    x = 15,748,276,044.55/201,787.30
  6. Step 6: Final answer
    x = 78,043.94

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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.