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Finding the Fourth Proportional to 260,016.50, 358,822.77 and 140,784.50

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Solution

The fourth proportional to 260,016.50, 358,822.77 and 140,784.50 is: 194,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,016.50 : 358,822.77 = 140,784.50 : x
  2. Step 2: Convert to fraction form
    260,016.50/358,822.77 = 140,784.50/x
  3. Step 3: Cross multiply
    260,016.50x = 358,822.77 × 140,784.50
  4. Step 4: Simplify right side
    260,016.50x = 50,516,684,263.07
  5. Step 5: Solve for x
    x = 50,516,684,263.07/260,016.50
  6. Step 6: Final answer
    x = 194,282.61

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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.