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Finding the Fourth Proportional to 233,473.06, 322,194.12 and 132,871.06

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Solution

The fourth proportional to 233,473.06, 322,194.12 and 132,871.06 is: 183,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,473.06 : 322,194.12 = 132,871.06 : x
  2. Step 2: Convert to fraction form
    233,473.06/322,194.12 = 132,871.06/x
  3. Step 3: Cross multiply
    233,473.06x = 322,194.12 × 132,871.06
  4. Step 4: Simplify right side
    233,473.06x = 42,810,274,250.17
  5. Step 5: Solve for x
    x = 42,810,274,250.17/233,473.06
  6. Step 6: Final answer
    x = 183,362.80

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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.