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Finding the Fourth Proportional to 230,117.80, 344,852.70 and 182,813.80

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Solution

The fourth proportional to 230,117.80, 344,852.70 and 182,813.80 is: 273,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,117.80 : 344,852.70 = 182,813.80 : x
  2. Step 2: Convert to fraction form
    230,117.80/344,852.70 = 182,813.80/x
  3. Step 3: Cross multiply
    230,117.80x = 344,852.70 × 182,813.80
  4. Step 4: Simplify right side
    230,117.80x = 63,043,832,527.26
  5. Step 5: Solve for x
    x = 63,043,832,527.26/230,117.80
  6. Step 6: Final answer
    x = 273,963.30

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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.