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Finding the Fourth Proportional to 186,290.01, 279,462.96 and 86,460.48

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Solution

The fourth proportional to 186,290.01, 279,462.96 and 86,460.48 is: 129,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,290.01 : 279,462.96 = 86,460.48 : x
  2. Step 2: Convert to fraction form
    186,290.01/279,462.96 = 86,460.48/x
  3. Step 3: Cross multiply
    186,290.01x = 279,462.96 × 86,460.48
  4. Step 4: Simplify right side
    186,290.01x = 24,162,501,663.82
  5. Step 5: Solve for x
    x = 24,162,501,663.82/186,290.01
  6. Step 6: Final answer
    x = 129,703.69

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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.