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Finding the Fourth Proportional to 260,505.38, 359,516.75 and 145,795.52

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Solution

The fourth proportional to 260,505.38, 359,516.75 and 145,795.52 is: 201,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,505.38 : 359,516.75 = 145,795.52 : x
  2. Step 2: Convert to fraction form
    260,505.38/359,516.75 = 145,795.52/x
  3. Step 3: Cross multiply
    260,505.38x = 359,516.75 × 145,795.52
  4. Step 4: Simplify right side
    260,505.38x = 52,415,931,684.77
  5. Step 5: Solve for x
    x = 52,415,931,684.77/260,505.38
  6. Step 6: Final answer
    x = 201,208.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.