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Finding the Fourth Proportional to 232,140.16, 320,235.50 and 151,614.82

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Solution

The fourth proportional to 232,140.16, 320,235.50 and 151,614.82 is: 209,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,140.16 : 320,235.50 = 151,614.82 : x
  2. Step 2: Convert to fraction form
    232,140.16/320,235.50 = 151,614.82/x
  3. Step 3: Cross multiply
    232,140.16x = 320,235.50 × 151,614.82
  4. Step 4: Simplify right side
    232,140.16x = 48,552,447,690.11
  5. Step 5: Solve for x
    x = 48,552,447,690.11/232,140.16
  6. Step 6: Final answer
    x = 209,151.44

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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.