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Finding the Fourth Proportional to 186,141.68, 279,243.88 and 86,261.36

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Solution

The fourth proportional to 186,141.68, 279,243.88 and 86,261.36 is: 129,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,141.68 : 279,243.88 = 86,261.36 : x
  2. Step 2: Convert to fraction form
    186,141.68/279,243.88 = 86,261.36/x
  3. Step 3: Cross multiply
    186,141.68x = 279,243.88 × 86,261.36
  4. Step 4: Simplify right side
    186,141.68x = 24,087,956,860.48
  5. Step 5: Solve for x
    x = 24,087,956,860.48/186,141.68
  6. Step 6: Final answer
    x = 129,406.57

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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.