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Finding the Fourth Proportional to 233,818.14, 322,672.44 and 131,848.50

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Solution

The fourth proportional to 233,818.14, 322,672.44 and 131,848.50 is: 181,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,818.14 : 322,672.44 = 131,848.50 : x
  2. Step 2: Convert to fraction form
    233,818.14/322,672.44 = 131,848.50/x
  3. Step 3: Cross multiply
    233,818.14x = 322,672.44 × 131,848.50
  4. Step 4: Simplify right side
    233,818.14x = 42,543,877,205.34
  5. Step 5: Solve for x
    x = 42,543,877,205.34/233,818.14
  6. Step 6: Final answer
    x = 181,952.85

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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.