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Finding the Fourth Proportional to 260,042.76, 358,866.11 and 146,865.51

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Solution

The fourth proportional to 260,042.76, 358,866.11 and 146,865.51 is: 202,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.76 : 358,866.11 = 146,865.51 : x
  2. Step 2: Convert to fraction form
    260,042.76/358,866.11 = 146,865.51/x
  3. Step 3: Cross multiply
    260,042.76x = 358,866.11 × 146,865.51
  4. Step 4: Simplify right side
    260,042.76x = 52,705,054,634.03
  5. Step 5: Solve for x
    x = 52,705,054,634.03/260,042.76
  6. Step 6: Final answer
    x = 202,678.42

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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.