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Finding the Fourth Proportional to 260,500.56, 359,411.40 and 145,767.30

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Solution

The fourth proportional to 260,500.56, 359,411.40 and 145,767.30 is: 201,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,500.56 : 359,411.40 = 145,767.30 : x
  2. Step 2: Convert to fraction form
    260,500.56/359,411.40 = 145,767.30/x
  3. Step 3: Cross multiply
    260,500.56x = 359,411.40 × 145,767.30
  4. Step 4: Simplify right side
    260,500.56x = 52,390,429,367.22
  5. Step 5: Solve for x
    x = 52,390,429,367.22/260,500.56
  6. Step 6: Final answer
    x = 201,114.46

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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.