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Finding the Fourth Proportional to 241,301.80, 361,952.70 and 146,823.40

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Solution

The fourth proportional to 241,301.80, 361,952.70 and 146,823.40 is: 220,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,301.80 : 361,952.70 = 146,823.40 : x
  2. Step 2: Convert to fraction form
    241,301.80/361,952.70 = 146,823.40/x
  3. Step 3: Cross multiply
    241,301.80x = 361,952.70 × 146,823.40
  4. Step 4: Simplify right side
    241,301.80x = 53,143,126,053.18
  5. Step 5: Solve for x
    x = 53,143,126,053.18/241,301.80
  6. Step 6: Final answer
    x = 220,235.10

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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.