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Finding the Fourth Proportional to 172,424.44, 237,978.65 and 114,178.51

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Solution

The fourth proportional to 172,424.44, 237,978.65 and 114,178.51 is: 157,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,424.44 : 237,978.65 = 114,178.51 : x
  2. Step 2: Convert to fraction form
    172,424.44/237,978.65 = 114,178.51/x
  3. Step 3: Cross multiply
    172,424.44x = 237,978.65 × 114,178.51
  4. Step 4: Simplify right side
    172,424.44x = 27,172,047,418.47
  5. Step 5: Solve for x
    x = 27,172,047,418.47/172,424.44
  6. Step 6: Final answer
    x = 157,588.15

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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.