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Finding the Fourth Proportional to 169,193.25, 253,805.54 and 55,341.71

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Solution

The fourth proportional to 169,193.25, 253,805.54 and 55,341.71 is: 83,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,193.25 : 253,805.54 = 55,341.71 : x
  2. Step 2: Convert to fraction form
    169,193.25/253,805.54 = 55,341.71/x
  3. Step 3: Cross multiply
    169,193.25x = 253,805.54 × 55,341.71
  4. Step 4: Simplify right side
    169,193.25x = 14,046,031,045.34
  5. Step 5: Solve for x
    x = 14,046,031,045.34/169,193.25
  6. Step 6: Final answer
    x = 83,017.68

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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.