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Finding the Fourth Proportional to 260,708.63, 359,799.43 and 146,013.69

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Solution

The fourth proportional to 260,708.63, 359,799.43 and 146,013.69 is: 201,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,708.63 : 359,799.43 = 146,013.69 : x
  2. Step 2: Convert to fraction form
    260,708.63/359,799.43 = 146,013.69/x
  3. Step 3: Cross multiply
    260,708.63x = 359,799.43 × 146,013.69
  4. Step 4: Simplify right side
    260,708.63x = 52,535,641,873.65
  5. Step 5: Solve for x
    x = 52,535,641,873.65/260,708.63
  6. Step 6: Final answer
    x = 201,510.95

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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.