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Finding the Fourth Proportional to 260,703.25, 359,686.83 and 145,964.98

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Solution

The fourth proportional to 260,703.25, 359,686.83 and 145,964.98 is: 201,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,703.25 : 359,686.83 = 145,964.98 : x
  2. Step 2: Convert to fraction form
    260,703.25/359,686.83 = 145,964.98/x
  3. Step 3: Cross multiply
    260,703.25x = 359,686.83 × 145,964.98
  4. Step 4: Simplify right side
    260,703.25x = 52,501,680,947.21
  5. Step 5: Solve for x
    x = 52,501,680,947.21/260,703.25
  6. Step 6: Final answer
    x = 201,384.83

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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.