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Finding the Fourth Proportional to 162,232.75, 243,349.14 and 51,424.75

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Solution

The fourth proportional to 162,232.75, 243,349.14 and 51,424.75 is: 77,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,232.75 : 243,349.14 = 51,424.75 : x
  2. Step 2: Convert to fraction form
    162,232.75/243,349.14 = 51,424.75/x
  3. Step 3: Cross multiply
    162,232.75x = 243,349.14 × 51,424.75
  4. Step 4: Simplify right side
    162,232.75x = 12,514,168,687.22
  5. Step 5: Solve for x
    x = 12,514,168,687.22/162,232.75
  6. Step 6: Final answer
    x = 77,137.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.