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Finding the Fourth Proportional to 201,752.70, 301,851.45 and 131,768.70

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Solution

The fourth proportional to 201,752.70, 301,851.45 and 131,768.70 is: 197,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,752.70 : 301,851.45 = 131,768.70 : x
  2. Step 2: Convert to fraction form
    201,752.70/301,851.45 = 131,768.70/x
  3. Step 3: Cross multiply
    201,752.70x = 301,851.45 × 131,768.70
  4. Step 4: Simplify right side
    201,752.70x = 39,774,573,159.62
  5. Step 5: Solve for x
    x = 39,774,573,159.62/201,752.70
  6. Step 6: Final answer
    x = 197,145.18

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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.