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Finding the Fourth Proportional to 232,089.40, 320,222.16 and 133,948.24

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Solution

The fourth proportional to 232,089.40, 320,222.16 and 133,948.24 is: 184,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,089.40 : 320,222.16 = 133,948.24 : x
  2. Step 2: Convert to fraction form
    232,089.40/320,222.16 = 133,948.24/x
  3. Step 3: Cross multiply
    232,089.40x = 320,222.16 × 133,948.24
  4. Step 4: Simplify right side
    232,089.40x = 42,893,194,741.00
  5. Step 5: Solve for x
    x = 42,893,194,741.00/232,089.40
  6. Step 6: Final answer
    x = 184,813.24

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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.