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Finding the Fourth Proportional to 260,411.76, 359,374.32 and 147,235.32

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Solution

The fourth proportional to 260,411.76, 359,374.32 and 147,235.32 is: 203,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,411.76 : 359,374.32 = 147,235.32 : x
  2. Step 2: Convert to fraction form
    260,411.76/359,374.32 = 147,235.32/x
  3. Step 3: Cross multiply
    260,411.76x = 359,374.32 × 147,235.32
  4. Step 4: Simplify right side
    260,411.76x = 52,912,593,004.98
  5. Step 5: Solve for x
    x = 52,912,593,004.98/260,411.76
  6. Step 6: Final answer
    x = 203,188.19

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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.