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Finding the Fourth Proportional to 334,101.42, 501,045.12 and 109,400.94

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Solution

The fourth proportional to 334,101.42, 501,045.12 and 109,400.94 is: 164,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,101.42 : 501,045.12 = 109,400.94 : x
  2. Step 2: Convert to fraction form
    334,101.42/501,045.12 = 109,400.94/x
  3. Step 3: Cross multiply
    334,101.42x = 501,045.12 × 109,400.94
  4. Step 4: Simplify right side
    334,101.42x = 54,814,807,110.41
  5. Step 5: Solve for x
    x = 54,814,807,110.41/334,101.42
  6. Step 6: Final answer
    x = 164,066.37

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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.