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Finding the Fourth Proportional to 411,045.39, 616,194.45 and 158,164.56

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Solution

The fourth proportional to 411,045.39, 616,194.45 and 158,164.56 is: 237,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,045.39 : 616,194.45 = 158,164.56 : x
  2. Step 2: Convert to fraction form
    411,045.39/616,194.45 = 158,164.56/x
  3. Step 3: Cross multiply
    411,045.39x = 616,194.45 × 158,164.56
  4. Step 4: Simplify right side
    411,045.39x = 97,460,124,058.69
  5. Step 5: Solve for x
    x = 97,460,124,058.69/411,045.39
  6. Step 6: Final answer
    x = 237,103.07

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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.