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Finding the Fourth Proportional to 146,368.42, 201,966.11 and 82,682.98

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Solution

The fourth proportional to 146,368.42, 201,966.11 and 82,682.98 is: 114,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,368.42 : 201,966.11 = 82,682.98 : x
  2. Step 2: Convert to fraction form
    146,368.42/201,966.11 = 82,682.98/x
  3. Step 3: Cross multiply
    146,368.42x = 201,966.11 × 82,682.98
  4. Step 4: Simplify right side
    146,368.42x = 16,699,159,225.54
  5. Step 5: Solve for x
    x = 16,699,159,225.54/146,368.42
  6. Step 6: Final answer
    x = 114,089.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.