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Finding the Fourth Proportional to 268,926.80, 403,001.40 and 119,044.40

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Solution

The fourth proportional to 268,926.80, 403,001.40 and 119,044.40 is: 178,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,926.80 : 403,001.40 = 119,044.40 : x
  2. Step 2: Convert to fraction form
    268,926.80/403,001.40 = 119,044.40/x
  3. Step 3: Cross multiply
    268,926.80x = 403,001.40 × 119,044.40
  4. Step 4: Simplify right side
    268,926.80x = 47,975,059,862.16
  5. Step 5: Solve for x
    x = 47,975,059,862.16/268,926.80
  6. Step 6: Final answer
    x = 178,394.49

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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.