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Finding the Fourth Proportional to 200,766.30, 301,101.45 and 116,343.90

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Solution

The fourth proportional to 200,766.30, 301,101.45 and 116,343.90 is: 174,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,766.30 : 301,101.45 = 116,343.90 : x
  2. Step 2: Convert to fraction form
    200,766.30/301,101.45 = 116,343.90/x
  3. Step 3: Cross multiply
    200,766.30x = 301,101.45 × 116,343.90
  4. Step 4: Simplify right side
    200,766.30x = 35,031,316,988.66
  5. Step 5: Solve for x
    x = 35,031,316,988.66/200,766.30
  6. Step 6: Final answer
    x = 174,488.03

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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.