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Finding the Fourth Proportional to 200,029.80, 299,996.70 and 115,607.40

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Solution

The fourth proportional to 200,029.80, 299,996.70 and 115,607.40 is: 173,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,029.80 : 299,996.70 = 115,607.40 : x
  2. Step 2: Convert to fraction form
    200,029.80/299,996.70 = 115,607.40/x
  3. Step 3: Cross multiply
    200,029.80x = 299,996.70 × 115,607.40
  4. Step 4: Simplify right side
    200,029.80x = 34,681,838,495.58
  5. Step 5: Solve for x
    x = 34,681,838,495.58/200,029.80
  6. Step 6: Final answer
    x = 173,383.36

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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.