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Finding the Fourth Proportional to 232,539.60, 320,818.55 and 146,475.48

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Solution

The fourth proportional to 232,539.60, 320,818.55 and 146,475.48 is: 202,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,539.60 : 320,818.55 = 146,475.48 : x
  2. Step 2: Convert to fraction form
    232,539.60/320,818.55 = 146,475.48/x
  3. Step 3: Cross multiply
    232,539.60x = 320,818.55 × 146,475.48
  4. Step 4: Simplify right side
    232,539.60x = 46,992,050,371.78
  5. Step 5: Solve for x
    x = 46,992,050,371.78/232,539.60
  6. Step 6: Final answer
    x = 202,081.93

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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.