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Finding the Fourth Proportional to 186,097.49, 279,261.06 and 86,239.07

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Solution

The fourth proportional to 186,097.49, 279,261.06 and 86,239.07 is: 129,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,097.49 : 279,261.06 = 86,239.07 : x
  2. Step 2: Convert to fraction form
    186,097.49/279,261.06 = 86,239.07/x
  3. Step 3: Cross multiply
    186,097.49x = 279,261.06 × 86,239.07
  4. Step 4: Simplify right side
    186,097.49x = 24,083,213,670.42
  5. Step 5: Solve for x
    x = 24,083,213,670.42/186,097.49
  6. Step 6: Final answer
    x = 129,411.81

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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.