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Finding the Fourth Proportional to 235,573.91, 353,016.41 and 146,556.93

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Solution

The fourth proportional to 235,573.91, 353,016.41 and 146,556.93 is: 219,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,573.91 : 353,016.41 = 146,556.93 : x
  2. Step 2: Convert to fraction form
    235,573.91/353,016.41 = 146,556.93/x
  3. Step 3: Cross multiply
    235,573.91x = 353,016.41 × 146,556.93
  4. Step 4: Simplify right side
    235,573.91x = 51,737,001,289.22
  5. Step 5: Solve for x
    x = 51,737,001,289.22/235,573.91
  6. Step 6: Final answer
    x = 219,621.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.