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Finding the Fourth Proportional to 334,776.42, 502,154.20 and 82,057.64

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Solution

The fourth proportional to 334,776.42, 502,154.20 and 82,057.64 is: 123,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,776.42 : 502,154.20 = 82,057.64 : x
  2. Step 2: Convert to fraction form
    334,776.42/502,154.20 = 82,057.64/x
  3. Step 3: Cross multiply
    334,776.42x = 502,154.20 × 82,057.64
  4. Step 4: Simplify right side
    334,776.42x = 41,205,585,852.17
  5. Step 5: Solve for x
    x = 41,205,585,852.17/334,776.42
  6. Step 6: Final answer
    x = 123,083.90

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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.