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Finding the Fourth Proportional to 260,081.76, 358,942.02 and 146,911.80

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Solution

The fourth proportional to 260,081.76, 358,942.02 and 146,911.80 is: 202,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,081.76 : 358,942.02 = 146,911.80 : x
  2. Step 2: Convert to fraction form
    260,081.76/358,942.02 = 146,911.80/x
  3. Step 3: Cross multiply
    260,081.76x = 358,942.02 × 146,911.80
  4. Step 4: Simplify right side
    260,081.76x = 52,732,818,253.84
  5. Step 5: Solve for x
    x = 52,732,818,253.84/260,081.76
  6. Step 6: Final answer
    x = 202,754.77

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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.