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Finding the Fourth Proportional to 178,185.56, 245,802.80 and 110,180.79

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Solution

The fourth proportional to 178,185.56, 245,802.80 and 110,180.79 is: 151,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,185.56 : 245,802.80 = 110,180.79 : x
  2. Step 2: Convert to fraction form
    178,185.56/245,802.80 = 110,180.79/x
  3. Step 3: Cross multiply
    178,185.56x = 245,802.80 × 110,180.79
  4. Step 4: Simplify right side
    178,185.56x = 27,082,746,963.66
  5. Step 5: Solve for x
    x = 27,082,746,963.66/178,185.56
  6. Step 6: Final answer
    x = 151,991.82

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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.