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Finding the Fourth Proportional to 175,955.82, 243,019.56 and 119,268.78

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Solution

The fourth proportional to 175,955.82, 243,019.56 and 119,268.78 is: 164,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,955.82 : 243,019.56 = 119,268.78 : x
  2. Step 2: Convert to fraction form
    175,955.82/243,019.56 = 119,268.78/x
  3. Step 3: Cross multiply
    175,955.82x = 243,019.56 × 119,268.78
  4. Step 4: Simplify right side
    175,955.82x = 28,984,646,437.34
  5. Step 5: Solve for x
    x = 28,984,646,437.34/175,955.82
  6. Step 6: Final answer
    x = 164,726.84

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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.