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Finding the Fourth Proportional to 230,871.26, 346,166.73 and 90,461.66

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Solution

The fourth proportional to 230,871.26, 346,166.73 and 90,461.66 is: 135,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,871.26 : 346,166.73 = 90,461.66 : x
  2. Step 2: Convert to fraction form
    230,871.26/346,166.73 = 90,461.66/x
  3. Step 3: Cross multiply
    230,871.26x = 346,166.73 × 90,461.66
  4. Step 4: Simplify right side
    230,871.26x = 31,314,817,032.57
  5. Step 5: Solve for x
    x = 31,314,817,032.57/230,871.26
  6. Step 6: Final answer
    x = 135,637.57

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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.