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Finding the Fourth Proportional to 140,599.21, 194,026.35 and 76,068.24

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Solution

The fourth proportional to 140,599.21, 194,026.35 and 76,068.24 is: 104,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,599.21 : 194,026.35 = 76,068.24 : x
  2. Step 2: Convert to fraction form
    140,599.21/194,026.35 = 76,068.24/x
  3. Step 3: Cross multiply
    140,599.21x = 194,026.35 × 76,068.24
  4. Step 4: Simplify right side
    140,599.21x = 14,759,243,243.38
  5. Step 5: Solve for x
    x = 14,759,243,243.38/140,599.21
  6. Step 6: Final answer
    x = 104,973.87

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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.