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Finding the Fourth Proportional to 123,693.68, 185,796.09 and 118,303.13

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Solution

The fourth proportional to 123,693.68, 185,796.09 and 118,303.13 is: 177,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,693.68 : 185,796.09 = 118,303.13 : x
  2. Step 2: Convert to fraction form
    123,693.68/185,796.09 = 118,303.13/x
  3. Step 3: Cross multiply
    123,693.68x = 185,796.09 × 118,303.13
  4. Step 4: Simplify right side
    123,693.68x = 21,980,259,453.25
  5. Step 5: Solve for x
    x = 21,980,259,453.25/123,693.68
  6. Step 6: Final answer
    x = 177,699.13

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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.