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Finding the Fourth Proportional to 260,623.50, 359,658 and 147,446.25

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Solution

The fourth proportional to 260,623.50, 359,658 and 147,446.25 is: 203,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,623.50 : 359,658 = 147,446.25 : x
  2. Step 2: Convert to fraction form
    260,623.50/359,658 = 147,446.25/x
  3. Step 3: Cross multiply
    260,623.50x = 359,658 × 147,446.25
  4. Step 4: Simplify right side
    260,623.50x = 53,030,223,382.50
  5. Step 5: Solve for x
    x = 53,030,223,382.50/260,623.50
  6. Step 6: Final answer
    x = 203,474.45

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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.