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Finding the Fourth Proportional to 275,742.72, 413,726.72 and 98,283.52

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Solution

The fourth proportional to 275,742.72, 413,726.72 and 98,283.52 is: 147,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,742.72 : 413,726.72 = 98,283.52 : x
  2. Step 2: Convert to fraction form
    275,742.72/413,726.72 = 98,283.52/x
  3. Step 3: Cross multiply
    275,742.72x = 413,726.72 × 98,283.52
  4. Step 4: Simplify right side
    275,742.72x = 40,662,518,359.65
  5. Step 5: Solve for x
    x = 40,662,518,359.65/275,742.72
  6. Step 6: Final answer
    x = 147,465.43

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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.