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Finding the Fourth Proportional to 176,802.44, 243,968.98 and 100,297.16

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Solution

The fourth proportional to 176,802.44, 243,968.98 and 100,297.16 is: 138,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,802.44 : 243,968.98 = 100,297.16 : x
  2. Step 2: Convert to fraction form
    176,802.44/243,968.98 = 100,297.16/x
  3. Step 3: Cross multiply
    176,802.44x = 243,968.98 × 100,297.16
  4. Step 4: Simplify right side
    176,802.44x = 24,469,395,822.10
  5. Step 5: Solve for x
    x = 24,469,395,822.10/176,802.44
  6. Step 6: Final answer
    x = 138,399.65

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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.