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Finding the Fourth Proportional to 260,436.32, 359,409.20 and 147,276

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Solution

The fourth proportional to 260,436.32, 359,409.20 and 147,276 is: 203,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,436.32 : 359,409.20 = 147,276 : x
  2. Step 2: Convert to fraction form
    260,436.32/359,409.20 = 147,276/x
  3. Step 3: Cross multiply
    260,436.32x = 359,409.20 × 147,276
  4. Step 4: Simplify right side
    260,436.32x = 52,932,349,339.20
  5. Step 5: Solve for x
    x = 52,932,349,339.20/260,436.32
  6. Step 6: Final answer
    x = 203,244.88

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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.