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Finding the Fourth Proportional to 124,535.82, 186,858.54 and 65,357.22

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Solution

The fourth proportional to 124,535.82, 186,858.54 and 65,357.22 is: 98,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,535.82 : 186,858.54 = 65,357.22 : x
  2. Step 2: Convert to fraction form
    124,535.82/186,858.54 = 65,357.22/x
  3. Step 3: Cross multiply
    124,535.82x = 186,858.54 × 65,357.22
  4. Step 4: Simplify right side
    124,535.82x = 12,212,554,707.66
  5. Step 5: Solve for x
    x = 12,212,554,707.66/124,535.82
  6. Step 6: Final answer
    x = 98,064.59

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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.