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Finding the Fourth Proportional to 233,090.73, 321,813.07 and 159,626.13

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Solution

The fourth proportional to 233,090.73, 321,813.07 and 159,626.13 is: 220,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,090.73 : 321,813.07 = 159,626.13 : x
  2. Step 2: Convert to fraction form
    233,090.73/321,813.07 = 159,626.13/x
  3. Step 3: Cross multiply
    233,090.73x = 321,813.07 × 159,626.13
  4. Step 4: Simplify right side
    233,090.73x = 51,369,774,947.52
  5. Step 5: Solve for x
    x = 51,369,774,947.52/233,090.73
  6. Step 6: Final answer
    x = 220,385.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.