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Finding the Fourth Proportional to 260,723.42, 359,798.29 and 141,491.42

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Solution

The fourth proportional to 260,723.42, 359,798.29 and 141,491.42 is: 195,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,723.42 : 359,798.29 = 141,491.42 : x
  2. Step 2: Convert to fraction form
    260,723.42/359,798.29 = 141,491.42/x
  3. Step 3: Cross multiply
    260,723.42x = 359,798.29 × 141,491.42
  4. Step 4: Simplify right side
    260,723.42x = 50,908,370,965.67
  5. Step 5: Solve for x
    x = 50,908,370,965.67/260,723.42
  6. Step 6: Final answer
    x = 195,258.14

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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.