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Finding the Fourth Proportional to 205,284.34, 283,289.54 and 119,291.91

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Solution

The fourth proportional to 205,284.34, 283,289.54 and 119,291.91 is: 164,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,284.34 : 283,289.54 = 119,291.91 : x
  2. Step 2: Convert to fraction form
    205,284.34/283,289.54 = 119,291.91/x
  3. Step 3: Cross multiply
    205,284.34x = 283,289.54 × 119,291.91
  4. Step 4: Simplify right side
    205,284.34x = 33,794,152,047.61
  5. Step 5: Solve for x
    x = 33,794,152,047.61/205,284.34
  6. Step 6: Final answer
    x = 164,621.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.