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Finding the Fourth Proportional to 275,718.84, 413,352.23 and 98,124.72

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Solution

The fourth proportional to 275,718.84, 413,352.23 and 98,124.72 is: 147,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,718.84 : 413,352.23 = 98,124.72 : x
  2. Step 2: Convert to fraction form
    275,718.84/413,352.23 = 98,124.72/x
  3. Step 3: Cross multiply
    275,718.84x = 413,352.23 × 98,124.72
  4. Step 4: Simplify right side
    275,718.84x = 40,560,071,830.13
  5. Step 5: Solve for x
    x = 40,560,071,830.13/275,718.84
  6. Step 6: Final answer
    x = 147,106.64

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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.