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Finding the Fourth Proportional to 269,166.32, 403,728.29 and 117,359.82

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Solution

The fourth proportional to 269,166.32, 403,728.29 and 117,359.82 is: 176,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,166.32 : 403,728.29 = 117,359.82 : x
  2. Step 2: Convert to fraction form
    269,166.32/403,728.29 = 117,359.82/x
  3. Step 3: Cross multiply
    269,166.32x = 403,728.29 × 117,359.82
  4. Step 4: Simplify right side
    269,166.32x = 47,381,477,929.33
  5. Step 5: Solve for x
    x = 47,381,477,929.33/269,166.32
  6. Step 6: Final answer
    x = 176,030.49

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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.