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Finding the Fourth Proportional to 99,646.49, 149,366.74 and 46,294.94

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Solution

The fourth proportional to 99,646.49, 149,366.74 and 46,294.94 is: 69,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,646.49 : 149,366.74 = 46,294.94 : x
  2. Step 2: Convert to fraction form
    99,646.49/149,366.74 = 46,294.94/x
  3. Step 3: Cross multiply
    99,646.49x = 149,366.74 × 46,294.94
  4. Step 4: Simplify right side
    99,646.49x = 6,914,924,266.30
  5. Step 5: Solve for x
    x = 6,914,924,266.30/99,646.49
  6. Step 6: Final answer
    x = 69,394.56

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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.