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Finding the Fourth Proportional to 268,946.80, 403,031.40 and 119,064.40

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Solution

The fourth proportional to 268,946.80, 403,031.40 and 119,064.40 is: 178,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,946.80 : 403,031.40 = 119,064.40 : x
  2. Step 2: Convert to fraction form
    268,946.80/403,031.40 = 119,064.40/x
  3. Step 3: Cross multiply
    268,946.80x = 403,031.40 × 119,064.40
  4. Step 4: Simplify right side
    268,946.80x = 47,986,691,822.16
  5. Step 5: Solve for x
    x = 47,986,691,822.16/268,946.80
  6. Step 6: Final answer
    x = 178,424.48

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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.