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Finding the Fourth Proportional to 234,466.05, 323,547.84 and 149,574

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Solution

The fourth proportional to 234,466.05, 323,547.84 and 149,574 is: 206,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,466.05 : 323,547.84 = 149,574 : x
  2. Step 2: Convert to fraction form
    234,466.05/323,547.84 = 149,574/x
  3. Step 3: Cross multiply
    234,466.05x = 323,547.84 × 149,574
  4. Step 4: Simplify right side
    234,466.05x = 48,394,344,620.16
  5. Step 5: Solve for x
    x = 48,394,344,620.16/234,466.05
  6. Step 6: Final answer
    x = 206,402.35

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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.