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Finding the Fourth Proportional to 275,718.48, 413,351.68 and 98,124.36

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Solution

The fourth proportional to 275,718.48, 413,351.68 and 98,124.36 is: 147,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,718.48 : 413,351.68 = 98,124.36 : x
  2. Step 2: Convert to fraction form
    275,718.48/413,351.68 = 98,124.36/x
  3. Step 3: Cross multiply
    275,718.48x = 413,351.68 × 98,124.36
  4. Step 4: Simplify right side
    275,718.48x = 40,559,869,054.92
  5. Step 5: Solve for x
    x = 40,559,869,054.92/275,718.48
  6. Step 6: Final answer
    x = 147,106.10

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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.