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Finding the Fourth Proportional to 233,054, 321,614.88 and 132,452

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Solution

The fourth proportional to 233,054, 321,614.88 and 132,452 is: 182,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,054 : 321,614.88 = 132,452 : x
  2. Step 2: Convert to fraction form
    233,054/321,614.88 = 132,452/x
  3. Step 3: Cross multiply
    233,054x = 321,614.88 × 132,452
  4. Step 4: Simplify right side
    233,054x = 42,598,534,085.76
  5. Step 5: Solve for x
    x = 42,598,534,085.76/233,054
  6. Step 6: Final answer
    x = 182,783.96

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