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Finding the Fourth Proportional to 181,837.80, 272,698.38 and 158,509.80

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Solution

The fourth proportional to 181,837.80, 272,698.38 and 158,509.80 is: 237,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,837.80 : 272,698.38 = 158,509.80 : x
  2. Step 2: Convert to fraction form
    181,837.80/272,698.38 = 158,509.80/x
  3. Step 3: Cross multiply
    181,837.80x = 272,698.38 × 158,509.80
  4. Step 4: Simplify right side
    181,837.80x = 43,225,365,674.12
  5. Step 5: Solve for x
    x = 43,225,365,674.12/181,837.80
  6. Step 6: Final answer
    x = 237,713.86

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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.