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Finding the Fourth Proportional to 233,053, 321,613.50 and 132,451

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Solution

The fourth proportional to 233,053, 321,613.50 and 132,451 is: 182,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,053 : 321,613.50 = 132,451 : x
  2. Step 2: Convert to fraction form
    233,053/321,613.50 = 132,451/x
  3. Step 3: Cross multiply
    233,053x = 321,613.50 × 132,451
  4. Step 4: Simplify right side
    233,053x = 42,598,029,688.50
  5. Step 5: Solve for x
    x = 42,598,029,688.50/233,053
  6. Step 6: Final answer
    x = 182,782.58

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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.